Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

A ladder, leaning against a wall, makes an angle of 20° with the ground-?

The foot of the ladder is 3 m from the wall. How long is the ladder?

(please show work)

3 Answers

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  • Bill-M
    Lv 7
    1 month ago
    Favourite answer

    A simple right triangle problem.

    Two Angles and the Side Between them are known.

    It is easy to find the Third Angle:  180 - 90 - 20 = 70 degrees.

    We can now find side a by using the Law of Sines:

    a = (3/Sin20) * Sin70

    Hypotenuse (Length of Ladder) = 3.191 M

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  • ?
    Lv 7
    1 month ago

    See below for work and solution

    Attachment image
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  • Jim
    Lv 7
    1 month ago

    You need to memorize SOHCAHTOA.

    Cosine would give length, I'm assuming ladder is at 70°

    Cos 70 = A/H

    H = A/cos70 = 3/0.34 = 8.8 m

    Attachment image
    Source(s): Technically, since you gave 3m, the answer should round to 9m.
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