Question

A rope attached to the top of a tent is staked into the ground.The rope is 4.5 ft long.The angle formed by the rope and the ground is 46 degrees.How far from the center of the base of the tent is the rope staked.

Answer 1

cos46 = a/4.5
4.5 x cos46 = a

a = 3.1 ft

Answer 2

Length of base = 3.126ft

Explanation:

Using the SOHCAHTOA

We are looking for the length .

Lets call the length a,

Length of hypotenuse = 4.5ft

cos46 = a/4.5

4.5 x cos46 = a

a = 3.126

Length of base = 3.126ft