41. A person on a Ferris wheel sits a distance of 45 feet from the Ferris wheel's center. If they

are at an angle of 120°, when measured in standard position

, then how high above the center of the wheel are they, to the nearest foot?

(1) 39 feet

(2) 12 feet

(3) 23 feet

(4) 32 feet

(1) 39 feet

Step-by-step explanation:

Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse (45 feet). Then we can solve the question using the sin formula.

sin x = opposite/hypotenuse

sin 120 = vertical distance / 45 feet

vertical distance = 0.8660 * 45 feet

vertical distance = 38.97 feet = 39 feet