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12 February, 15:05

The angle of elevation of a ladder is 19∘ and the ladder is 12 feet from the wall.

What is the height of the ladder in feet?

Enter your answer as a number rounded to the nearest tenth of a foot

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Answers (2)
  1. 12 February, 15:20
    0
    x = 12.1 feet

    Step-by-step explanation:

    Let x = the height of the ladder, or the hypotenuse

    12 ft = the distance the ladder is from the wall, or the base of a triangle

    the angle next to the base is 19 degrees

    We would be using the adjacent side, and the hypotenuse, so COS

    COS 19 = 12/x

    x = 12

    cos 19

    x = 12.1 feet
  2. 12 February, 15:21
    0
    Step-by-step explanation:

    We use Sine because we are dealing with the Opp and Hyp.

    Sin 19 = 12/x

    x Sin 19 = 12

    x = 12/Sin 19

    x = 38.86 feet

    x = 39.9 feet
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