The top of a tree makes angles s and t with Points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and Point L is y meters from the base of the tree.

Question

A)In terms of x and y, find the height of the tree. Include your work.
B)If t = 38° and y = 3 meters, calculate the height of the tree, rounded to two decimal places.

Answer 1

A. Tan t = h/Y, h = Y*Tan t

B. Tan38 = h/3.
h = 3*Tan38 = 2.34 m.

Answer 2

Man, thank you so much. My sis was stuck on this forever!