Question

Tim wants to determine the height, x, of a nearby tree. He stands 35 feet

from the base of the tree. The measure of the angle of elevation from Tim to the top of the
tree is 40 degrees

Answer 1

x ≈ 29.4 ft

Explanation:

The model is a right triangle.

Using the tangent ratio

tan40° =
`(opposite)/(adjacent)` =
`(x)/(35)` ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )