Question

Trey wants to use string lights to build a flagpole lighted tree in his front yard. Trey already has a 7-foot-tall pole mounted in the ground. If the angle each light string makes with the ground is 73.5°
73.5
°
, use the sine ratio to determine how long each light string must be to reach the top of the pole. Round the answer to the nearest tenth.(1 point)
feet

Answer 1

Let the string length be the hypotenuse h. Using sine:

sin(73.5°) = opposite/hypotenuse = 7/h

h = 7 / sin(73.5°) ≈ 7 / 0.9588 ≈ 7.3

Each string must be about 7.3 feet long (to the nearest tenth).