The height of a tree is 27 feet.

Question

 Given that tan θ=3/7 and you are looking at θ degrees to the top of the tree how far are you to the nearest foot from the base of the tree?

a. 12 ft

b. 21 ft

c. 63 ft

d. 81 ft

Answer 1

tan(θ) = y/x = 27/x  = 3/7   (y = height of tree, x = distance from tree)

 

27/x = 3/7 

 

Solve for x and you have your answer.