The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point A is at the 0 radian position, B is rotated \frac{7\pi}{12} radians from A, and C is rotated \frac{5\pi}{4} radians from A.
For each point A, B, and C, find how high the position on the Ferris wheel is off the ground. Write an expression using the sine or cosine function and estimate the value.
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The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.
How high above the ground is the center of the clock face? Explain how you know.
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Suppose angle O, in radians, is in quadrant 3 of the unit circle. If \sin(O)=-0.45, what are the values of \cos(0) and \tan(O)?
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/7/index.html ; accessed 29/July/2021.
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