Question

Tyler stands facing a tree that is 9 meters tall. he places a straight stick on the ground at his feet, angles it up until it points to the top of the tree, and measures the angle as 55 degrees. how many meters away is he standing from the tree?​

Answer 1

Distance of boy from tree (base) = 6.3 m (Approx.)

Explanation:

Given:

Height of tree (perpendicular) = 9 m

Given angle = 55°

Find:

Distance of boy from tree (base)

Computation:

Using trigonometry function

tanθ = Perpendicular / Base

tan 55 = 9 / Base

1.4281 = 9 / Base

Base = 6.3

Distance of boy from tree (base) = 6.3 m (Approx.)