Question

Solve for the height of the tree. Show your work and explain the steps you used to solve. Round your answer to the nearest foot.

Answer 1

Given:

The angle of the elevation from 5 ft on the ground is 24 degrees. The distance of the tree and the point of angle of the elevation is 72 ft. The distance between the ground and line of sight is 5 ft.

Required:

Find the height of the tree.

Step-by-step explanation:

The triangle ABC is the right triangle.

Use the trigonometric ratio as:

`tan\theta=(opp.)/(adj.)`

Thus the height of the tree = BC + 5

= 32.1 + 5

= 37.1 ft

Final Answer:

The height of the tree is approximately 37.1 ft.