Ireally need with these questions (1) isabell is standing at the top of a waterslide that leads to a pool below. the angle of depression from top of the slide to the pool is 26.67°, and the slide is 33 feet long. how far is the top of the slide from the ground? round your answer to the nearest foot. 66 feet 54 feet 30 feet 15 feet (2) kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. if the rectangular frame's diagonal is 50 inches and forms a 36.87° angle with the bottom of the frame, what is its height? round your answer to the nearest inch. 28 inches 30 inches 38 inches 40 inches

  (1)  15 feet

  (2)  30 inches

Step-by-step explanation:

(1) The mnemonic SOH CAH TOA reminds you of the relationship between the angle, the hypotenuse, and the opposite side of a right triangle:

  Sin = Opposite/Hypotenuse

The waterslide length is the hypotenuse of a right triangle that has the height of the top of the slide as the side opposite the angle of depression. Hence, ...

  sin(26.67°) = height/(33 ft)

Multiplying by the denominator gives us the height:

  (33 ft)sin(26.67°) = height ≈ 14.81 ft ≈ 15 ft

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(2) As above, the useful relationship is ...

  Sin = Opposite/Hypotenuse

  sin(36.87°) = height/(50 in)

  (50 in)sin(36.87°) = height = 30.00 in

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step-by-step explanation:

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