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You are parasailing on a rope that is a = 120 feet long behind a boat. See the f

ID: 2970047 • Letter: Y

Question

You are parasailing on a rope that is a = 120 feet long behind a boat. See the figure below. (Round your answers to three decimal places.)

You are parasailing on a rope that is a = 120 feet long behind a boat. See the figure below. (Round your answers to three decimal places.) At first, you stabilize at a height that forms a 45 degree angle with the water. What is that height? After enjoying the scenery, you encounter a strong wind that blows you down to a height that forms a 30 degree angle with the water. At what height are you now? Find c and d, that is, the horizontal distances between you and the boat, in parts (a) and (b).

Explanation / Answer

a) height = 120*sin45 = 120/sqrt(2) = 84.853 feet

b) height = 120*sin30 = 60 feet

c) c = 120*cos45 = 84.853 feet

d = 120*cos30 = 103.923 feet

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