Question

A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base

of the building, what angle is formed between the ladder and the ground?

Answer 1

The angle between the ladder and the ground is
`78.78\°`

Solution:

It is given that the length of the ladder is 36 foot and the distance between the base and the ladder is 7 feet.

Here we can see that the hypotenuse is 36 foot and the base is 7 feet. To find the angle between the ladder and the ground we take the cos inverse of
`(7)/(36)`.

Let the angle between the ladder and the ground is ‘x’.

We know,
`cos x = (base)/(hypotenuse)`

`\Rightarrow cosx = (7)/(36)`

`\Rightarrow x = cos^((-1)) (7)/(36)`

`\Rightarrow x=78.78\°`