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Airplane climbs at angle of 11 degrees. Find the ground distance it has travelled with it reaches altitude of 400ft. There is no more info.?

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  • 7 months ago
    Favourite answer

    Let the ground distance be, x.

    400/x = tan 11

    x = 400/tan11 = 2,057.82 ft

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  • Como
    Lv 7
    7 months ago

    -

    tan 11° = 400 / x

    x = 400 / tan 11°

    x = 2058 ft_______ground distance

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  • David
    Lv 7
    7 months ago

    Ground diatance: 400/tangent(11) = 2058 feet to the nearest foot

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  • Anonymous
    7 months ago

    2057.8 ft about

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  • Anonymous
    7 months ago

    You don't need any more information. Tan 11 deg = opposite (400) / adjacent (distance to be found)

    400/ tan 11 deg = distance.

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  • 7 months ago

    So you know that the angle is 11° and the side opposite of the angle is 400 ft. You want to find the length of the adjacent side. So use the tangent law.

    tan 11° = 400/x

    x = 400/(tan 11°)

    x = 2058 ft

    When it’s a right triangle, know these three acronyms:

    CAH - cos x = adjacent/hypotenuse

    SOH - sin x = opposite/hypotenuse

    TOA - tan x = opposite/adjacent

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  • sepia
    Lv 7
    7 months ago

    d = 400/tan11 = 400/0.194380309 = 2057.82161 feet

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