PLEASE HELP ITS URGENT
12. Carla is lying on the ground between two trees in her backyard. She is 67 feet from the tree to her left. The angle of elevation from her eyes to the top of the tree on the left is 50°. Carla is 75 feet from the tree to her right and the angle of elevation from her eyes to the top of that tree is 36°. a. Determine the height of each tree to the nearest foot. Show your work. b. State which tree is taller, and by how much.

Answer:

the left tree is taller

Step-by-step explanation:

shown in work above :)

The first tree is taller than the second tree by 25.3 ft.

We have to use the trigonometric ratios and angle of elevation to obtain the height of each tree as follows;

Let the height of the first tree be h1 and the height of the second tree be h2.

For the first tree;

tan 50° = h1/67

h1 = 67 tan 50° = 79.8 ft

For the second tree;

tan 36° = h2/75

h2 = 75tan 36°

h2 = 54.5 ft

The first tree is taller than the second tree by 25.3 ft.

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