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° , 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.
Let x be the length of each light string.
Since the sine of an angle is the ratio of the opposite side to the hypotenuse, we can set up the equation sin(73.5°) = x / 7.
To solve for x, we multiply both sides by 7: 7 * sin(73.5°) = x.
x ≈ 6.5.
Each light string must be approximately 6.5 feet long to reach the top of the pole.