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10 March, 21:48

The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76°. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon.

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  1. 10 March, 22:43
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    The first thing we must do for this case is to find the height of the balloon from the top of the building.

    We have then:

    tan (76) = h / 354

    h = 354 * tan (76)

    h = 1419.81645

    Then, the height from the ground is:

    1419.81645 + 95 = 1514.81645

    Rounding off we have:

    1514.82 feet

    Answer:

    The height of the hot air balloon is:

    1514.82 feet
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