Geometry

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A 10 ft. ladder is leaning against a building and makes an angle of 65 degrees with the ground. How high above the ground is the top of the ladder?

  • Geometry -

    Draw a right triangle, with 65° with the horizontal.
    The ladder is the hypotenuse, and the wall is the opposite side of the 65° angle.

    The height of the top of the ladder is therefore
    h=Lsin(65°)
    where L is the length of the ladder.

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