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Science-Related Homework Help Algebra Topic started by: ryann on Jul 20, 2020



Title: The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder
Post by: ryann on Jul 20, 2020
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.


Title: Re: The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ...
Post by: bolbol on Jul 20, 2020

Angle = 60ยบ 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



Title: Re: The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ...
Post by: ryann on Jul 20, 2020
THANK YOU!