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# 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)

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- Bill-MLv 71 month agoFavourite 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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- JimLv 71 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

Source(s): Technically, since you gave 3m, the answer should round to 9m.- Log in to reply to the answers

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