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

Answer:51.05

Step-by-step explanation:

Answer 2

Answer:

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 $\frac{7}{36}$.

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

We know, $cos x = \frac{base}{hypotenuse}$

$\Rightarrow cosx = \frac{7}{36}$

$\Rightarrow x = cos^{(-1)} \frac{7}{36}$

$\Rightarrow x=78.78\°$