Question

The length of a tree's shadow is 20 feet when the angle of elevation to the sun is 40 degrees. How tall is the tree?

Answer 1

Answer:

Step-by-step explanation:

Let x be the height of the tree.

The length of shadow of tree is l=20 feet and elevation of sun is θ=40°

Then, tanθ=x/l

or tan40=x/20

or x=20 tan40

=16.78 (2dp) feet.

The height of the tree is 16.78 (2dp) feet. (Ans)