A 172 ft tall tree casts a shadow on the ground. If the angle of elevation is 49°, find the distance from the top of the tree to the tip of the shadow.

Question

Angle of Elevation question 

Answer 1

First we need to know the length of the shadow which will be

L= 172/tan49 = 149.51ft

Then using Pythagorean Theorem we get

DTop tip = ((149.51)²+ (172)²)^0.5

DTopTip = 227.89 ft