A ladder leaning against a wall makes an angle θ with the horizontal ground such that tan θ = . If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 10.
Given:
The ladder leaned against the wall making an angle 0 with the horizontal ground such that tanθ = 12/5.
The height of the top of the ladder from the wall is 24 m
Concept Used:
tanθ = Height/Base
According to the question
Let the base = x which means the distance of the foot of the ladder from the wall is x
tanθ = 12/5
⇒ 24/x = 12/5
⇒ x = 10
The distance of the foot of the ladder from the wall is 10 m