Question

The measurement from the base of a tree to the tip of its shadow is 100 feet. The angle of inclination is 60°. Given that sin 60 degrees = 0.866, con 60 degrees = 0.5, tan 60 degrees 1.732

Answer 1

To find the height of the tree, we will use the tangent function since we have the opposite side (height of the tree) and the adjacent side (length of the shadow).

Let h be the height of the tree.

tan(60°) = opposite/adjacent
1.732 = h/100
h = 1.732 * 100
h = 173.2 feet

Therefore, the height of the tree is approximately 173.2 feet.