Question

The length of the shadow of a tree is 24 feet, the tan P = .7.


Write an equation involving a trigonometric ratio that can be used to find the height x of the tree. Explain why your equation is correct.

Find the height x of the tree by using your equation.

Answer 1

You do not included the picture. I can guess that p is the angle formed by the shadow and the hypotenuse of the right triangle.

The the trigonometric ratio is tan(p) = x/s

Where x is the height of the tree and s is the length of the shadow.

Then, x =s*tan(p) = 24 feet * 0.7 = 16.8 feet