a tourist is riding a chairlift that ascends the mountain at an angle of 51°. If the chairlift goes up a total of 1,200 vertical feet,

Question

a tourist is riding a chairlift that ascends the mountain at an angle of 51°. If the chairlift goes up a
total of 1,200 vertical feet, how long is the cable for the lift?

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Delilah 3 weeks 2021-09-25T05:53:45+00:00 1 Answer 0

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    0
    2021-09-25T05:55:10+00:00

    Answer:

    1544.1 ft to the nearest tenth.

    Step-by-step explanation:

    We have a triangle where we have to find the hypotenuse and the opposite side to the given angle = 1200 feet.

    So we use the sine function   ( sin = opp / hyp).

    sin 51 = 1200 / h

    h = 1200 / sin 51

    h = 1544.111 ft.

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