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ryann ryann
wrote...
Posts: 261
3 years ago
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
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wrote...
Staff Member
3 years ago

Angle = 60º and distance between wall and ladder= 4.6 m.

Length of ladder= 2 x distance between wall and ladder

= (2 x 4.6) m

= 9.2 m.

Explanation:

Given, that the angle of elevation of a ladder leaning against a wall is 60o and the foot of the ladder is 4.6 m away from the wall.

We are asked to find the length of the ladder. In this ques, the ladder is the hypotenuse, and the length of the foot of the ladder from the wall is the adjacent side.

As we know the angle and adjacent side length we can use cos of angle to find the hypotenuse. Let the length of the ladder be  L in m.

We can write,  cos60o =4.6/L then solve for L

ryann Author
wrote...
3 years ago
THANK YOU!
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