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+1 vote
1.6k views
in Mathematics by (63.7k points)

A ladder leaning against a wall makes an angle of 60° with the ground. If the length of the ladder is 19 m, find the distance of the foot of the ladder from the wall.

1 Answer

+2 votes
by (57.5k points)
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Best answer

Let AB be the wall and BC be the ladder. 

Then, ACB = 60o and BC = 19 m. 

Let AC = x metres

AC/BC = cos 60o 

x/19 = ½ 

x=19/2 = 9.5

Distance of the foot of the ladder from the wall = 9.5 m

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