Question

A tree tilts toward the sun at an 8 degree angle from the vertical and it casts a 22-foot
shadow. The angle of elevation from the tip of the shadow to the top of the tree is 43
degrees. How tall is the tree? Round your answer to the nearest tenth of a foot.

From : deltamath

Answer 1

Answer:

let the length of the tree be x

the angle from the tilted tree to the

shadow be ∅

therefore, ∅=43-8

=35

therefore applying trig

22/x=cos 35

x=22/cos35

x=30(nearest tenth)