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20 September, 21:27

You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon

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  1. 20 September, 22:35
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    26.6 m

    Step-by-step explanation:

    The bottom of the balloon, its top and the your position (where you are standing make the 3 vertices of a right angled triangle.

    o we are going to your the trigonometric ratios to find the height of the balloon.

    Tangent θ = opposite/Adjacent

    opposite is the height, h

    adjacent is the horizontal distance = 50 m

    Angle θ = 28

    ∴tan 28° = h/50

    h = 50 * tan 28

    = 50 * 0.5317

    = 26.6 m
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