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)
- 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
- ?Lv 71 month ago
See below for work and solution
- 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 mSource(s): Technically, since you gave 3m, the answer should round to 9m.