The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?

Answers

Answer 1

Answer:

the height is 54.99 ft or 659.84 in

Step-by-step explanation:

We know that the sides of similar triangles are proportional, so we can write:

2 ft / 6 ft 3 in = x / 171 ft 10 in

Now what we must do first and pass everything to the same unit of measurement:

Knowing that 1 foot equals 12 inches:

6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in

171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in

2 ft = 2 ft * 12 in / ft = 24 in

replacing:

24 in / 75 in = x / 2062 in

x = 24 * 2062/75

x = 659.84 in

Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft

That is, the height is 54.99 ft or 659.84 in


Related Questions

Can someone please answer this question?

Answers

Answer:

you answer would be A.    I hope this helps

Step-by-step explanation:

Please help me with this answer im not that good in math

Answers

Answer:

B. A = 96 cm2

Step-by-step explanation:

I think the answer should be B=96cm2

Could anyone plz help me with this question ?

Answers

Answer:

45

Step-by-step explanation:

b and c are part of an 180 degrees angle.

You already have a 90 degrees angle

180-90=90

And since there are 2 angles

90/2=45

And b and c are vertical angles

56. Because C is a supplementary angles and supplementary angles combine to make 180 degree angles which are straight lines in any direction like vertical, horizontal, or diagonal. So if we take the 124 next to the C and subtract 124 from 180, you get 56.

Please help marking brainliest QUICK

Answers

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
6
13
14
4
3
(a) What is the lower limit of fourth-class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?

Answers

Answer: (a) 4

(b) 5

(c) 14

(d)

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

Step-by-step explanation:

The data of 40 persons is given as :

Weights (in kg)    Frequency

30 - 35                  6

35 - 40                   13

40 - 45                   14

45 - 50                   4

50 - 55                  3

(a)

Lower limit is the lowest number in a class interval .

So, is the lower limit of fourth-class interval (45 - 50) is 4.

(b)

Class size = Upper limit - lower limit

So, Class size of first class interval = 35-30=5

Thus , class size of each interval is 5. [ class size remains same]

(c)

Highest frequency in table = 14 which is corresponding to 40 - 45   .

Thus , 40 - 45  is the class interval has the highest frequency.

(d)

Class mark is the mid value of each class interval.

Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

Which cylinder has the greatest volume?
1.a cylinder with a height of 9 cm and a radius of 9 cm
2.a cylinder with a height of 12 cm and a radius of 6
3.a cylinder with a height of 6 cm and a radius of 12
cm
4.a cylinder with a height of 15 cm and a radius of 3​

Answers

Answer:

3

Step-by-step explanation:

because the raidus of 12 and 6 cancel

A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled

Answers

Answer:

distance ÷ 67 = how many hours took to ride that much

you can use a normal table that looks like the ones on google when you search up "tables in math"

I'm sorry for this short answer! I'm in a rush but I hope this helped!


Write the equation in standard form for the circle passing through (6, 6) centered at the
origin

Answers

Answer:

x² + y² = 72

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)

r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]

  = [tex]\sqrt{6^2+6^2}[/tex]

  = [tex]\sqrt{36+36}[/tex]

  = [tex]\sqrt{72}[/tex]

Thus

x² + y² = ([tex]\sqrt{72}[/tex] )² , that is

x² + y² = 72 ← equation of circle

write the sum using sigma notation 3^2+4^2+5^2+...+10^2

Answers

     [tex]\sum\limits_{i=3}^{10}\big i^2[/tex]

or:

     [tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    [tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]

The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]

How to express the sum as a sigma notation?

The sum is given as;

3^2+4^2+5^2+...+10^2

The above means that the sum of the squares of integers from 3 to 10

Using the above statement, the sigma notation is:

[tex]\sum\limits^{10}_{n = 3} n^2[/tex]

Where n represents the current integer

Read more about sigma notation at:

https://brainly.com/question/14322177

Divide 24.71/13 to 3 decimal place

Answers

Step-by-step explanation:

1.901

hope this helps.

Answer:

1.900769231

In three decimal places is 1.901

Step-by-step explanation:

HAVE A GOOD DAY!

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.

Answers

Answer:

Box 1's  volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!!  <3

The volume of a box is the amount of space it can occupy.

Box 1's volume will be a monomialBox 2's volume will be a binomial

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 terms

Read more about volumes at:

https://brainly.com/question/15861918

Which points are on the graph of f(x)=(1/3)^x?
Select each correct answer
1. (-1, -1/3)
2. (3, 27)
3. (-2, 9)
4. (0, 1)

Answers

Answer:

(0,1)

Step-by-step explanation:

Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.

Answers

Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

Answer:

Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.

Step-by-step explanation:

Which multiplication equation can be used to solve
1/6 divided by 5

Answers

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!

just tell me if I'm correct​

Answers

Answer:

Yes you are correct for x AND y

Step-by-step explanation:

Yes, your answer is correct.

(6x⁴+11x²+9)+(3x²-x⁴-8) please help

Answers

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps

Which set of angles could NOT form a triangle? A. three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles

Answers

Answer:

C. One right angle, one acute angle, one obtuse angle  

Step-by-step explanation:

A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.

Find the sum. Write your answer in simplest form. 2 1/2+ 5 5/8

Answers

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help

Answers

A: 3/4 - 2.

Hope this helped!

Answer:

its A

Step-by-step explanation:

a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay

Answers

Step-by-step explanation:

If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78

Answer:

You pay 65% which is $78

Step-by-step explanation:

You'd pay 65% of the original price.

65% of the original price is 78

To do this you multiply 65% by 120

Which graph has a slope of ? A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes through points at (0, 1) and (4, 5). A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5). A coordinate plane with straight line. The line starts at (negative 5, negative 1) and passes through points at (negative 2, 0) and (3, 2). A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5).

Answers

Answer:

slope of the first line: 1

slope of the second line: 0.778

slope of the third line: 0.375

slope of the fourth line: 1.25

Step-by-step explanation:

Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:

slope = (y2 - y1)/(x2 - x1)

Therefore,

slope of the first line: [5 - (-4)]/[4 - (-5)] = 1

slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778

slope of the third line: [2 - (-1)]/[3 - (-5)] =  0.375

slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25

Answer:

this the question and answer i have and i-d-k what the other person is solving l.o.l

Step-by-step explanation:

aaaaaaaaassssssssssssssppppppppppaaaaaaaaaapppppppaaaaa

Answers

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

(a) Find an angle between 0 and 2π that is coterminal with −19π10.

Answers

Answer:

[tex]\dfrac{\pi}{10}[/tex].

Step-by-step explanation:

All coterminal angles of an angle [tex]\theta[/tex] are defined as

[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]

where, n is an integer.

The given angle is

[tex]\theta=-\dfrac{19\pi}{10}[/tex]

So, all coterminal angles of an angle [tex]\theta[/tex] are

[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]

For n=1,

[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]

[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]

[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]

[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]

Since,  [tex]\dfrac{\pi}{10}[/tex]  between 0 and 2π, therefore,  the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].

What is 14% of 8.5? Round to the nearest hundredth (if necessary).

Answers

Answer:

1.19

Step-by-step explanation:

Hope this helps :) I try to just get straight to the point so sorry for no work

Which choice is equivalent to the fraction below

Answers

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Solve -8(x+6)-1=5(x-2) for x

Answers

The value of X is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

*WORTH 15 POINTS!!!*

please answer this (photo attached - question below)

( the “<“ have _ under them in the real questions sorry if that’s confusing)

PART A:
the domain of the function is _____ < x < ______

PART B:
the range of the function is _____ < f(x) < _____

PART C:
the function decreases from _____ < x < _____

Answers

Answer:

what is this I don't kno!

What is 3 to the tenth power

Answers

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

How to find the tenth power of a number?

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

https://brainly.com/question/29006727

#SPJ6

help me please i need it !

Answers

Answer:

A

Step-by-step explanation:

There is 2 of the same number on the Y

D would be the right answer
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