Question

Keenan is checking his bicycle’s wheel. The wheel has a radius of 21 cm, and its center is 56 cm above the ground. Keenan is rotating the wheel at a constant speed of 165°/s. The height of a point on the tire as a function of time is given by h = 56 + 21 sin(165t), where h is the height in centimeters and t is the time in seconds. Find h when t = 17 s. Round your answer to the nearest tenth of a centimeter.

Answer 1

The answer is c 35.7

Answer 2

h = 56 + 21 sin(165t) Since you know the value of t = 17, substitute this value in for t. You now have h = 56 + 21 sin(2805) Since the sin(2805 degrees) is not a well known value, use your calculator to evaluate. You get an approximation of 65.0 cm for h.
h = 56 + 21 sin(2805) = 64.9872592735... or approximately 65.0 cm when we round up to the nearest tenth of a centimeter.