Question

Question 8

2 pts
You stand 40 feet from a tree. The anlge of elevation from the ground to
the top of the tree is 47 degrees. How tall is the tree? (round to the nearest
tenth)

Answer 1

9514 1404 393

Answer:

42.9 ft

Explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.

tan(47°) = height/(40 ft)

height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)

height ≈ 42.9 ft

The tree is about 42.9 feet tall.