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° , 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.
Answers
GPT 3.5
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.
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.