Question

A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft

Answer 1

109.3 ft

Explanation:

Remembering SOHCAHTOA

We would be using sin

sin = opposite / hypotenuse

sin 40 = x / 170

0.6428 = x/170

x = 0.6428 x 170 = 109.3 ft

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero