SOLUTION: A ladder placed on a flat horizontal surface rests against a vertical wall with an angle of elevation of 60�. The foot of the ladder is 2 m from the best of the wall. Find the heig

Question 1070440: A ladder placed on a flat horizontal surface rests against a vertical wall with an angle of elevation of 60�. The foot of the ladder is 2 m from the best of the wall. Find the height of the point where the ladder touches the wall
Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
A ladder placed on a flat horizontal surface rests against a vertical wall with an angle of elevation of 60�.
The foot of the ladder is 2 m from the base of the wall. Find the height of the point where the ladder touches the wall.
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= 3.46 m.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The ladder, the vertical wall, and the horizontal ground
form a right triangle.
With = height where the ladder touches the wall
= length of the ladder and
= distance from the bottom of the ladder to the wall,
the trigonometric ratios that apply are
,
, and
.
You want to find .
If you had been given , you would use ,
and in many problems you are given the length of the ladder.
However, this problem gives you ,
so you need to use
---> .
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