Question

Chelsea sitting 8 feet from the foot of a tree. From where she is sitting the angle of elevation of her line of sight to the top of the tree is 36°. If your line of sight starts at 1.5 feet above ground how tall is the tree to the nearest foot

Answer 1

6 ft

Step-by-step explanation:

We’ll use the trigonometric rule of SOHCAHTOA;

Well use TOA – since we know the value of the adjacent side and we are evaluating for the opposite side;

Tan Φ = Opposite / Adjacent

Tan 36 = x / 8

x = Tan 36 * 8

x = 5.81234

x = 6 ft