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

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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) About Me  (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 highlight%28cross%28best%29%29 base of the wall. Find the height of the point where the ladder touches the wall.
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2%2Asqrt%283%29 = 3.46 m.



Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder, the vertical wall, and the horizontal ground
form a right triangle.
With h= height where the ladder touches the wall
L= length of the ladder and
x= distance from the bottom of the ladder to the wall,
the trigonometric ratios that apply are
sin%2860%5Eo%29=h%2FL ,
cos%2860%5Eo%29=x%2FL , and
tan%2860%5Eo%29=h%2Fx .
You want to find h .
If you had been given L , you would use sin%2860%5Eo%29=sqrt%283%29%2F2 ,
and in many problems you are given the length of the ladder.
However, this problem gives you x ,
so you need to use tan%2860%5Eo%29=sqrt%283%29=about1.732
1.732=h%2F%222+m%22 ---> h=%28about1.732%29%2A2m=about3.46m .