Question

A kite is flying 100 feet off the ground, and its string is pulled taut. The angle of elevation of the kite is 57°. Find the length of the string. Round your answer to the nearest tenth. Do not include units in your answer and round correctly (one decimal place!)

Answer 1

83.9feet

Explanation

Using SOH, CAH, TOA to solve the problem;

The problem will form a right angled triangle

Let the length of the string be the hypotenuse

Let the length of the kite be hypotenuse = 100ft

Using SOH;

Sin57° = opposite/hypotenuse

Sin57° = opp/100

Cross multiply

Opp = 100sin57°

Opp = 83.87feet

Hence the length of the string is 83.9feet to one decimal place