Question

Jon placed a ladder 24 feet long against the side of his house. The base of the ladder was 10 feet from the house. What angle did the ladder make with the ground, to the nearest degree.

Answer 1

Answer:

The ladder made 34° with the ground.

Step-by-step explanation:

Given that,

Jon placed a ladder 24 feet long against the wall and the base of the ladder was 10 feet away from the wall.

It formed a right angled triangle whose hypotenuse = the length of the ladder = 24 feet

and

adjacent=horizontal distance between the wall and bottom of the ladder= 10 feet

We know that,

$cos\theta=\frac{adjacent}{hypotenuse}$

$\Rightarrow cos\theta=\frac{10}{24}$

$\Rightarrow cos\theta=\frac{5}{6}$

$\Rightarrow \theta=cos^{-1}(\frac{5}{6})$

$\Rightarrow \theta=33.56^\circ$

$\Rightarrow \theta\approx34^\circ$ (to nearest degree)

The ladder made 34° with the ground.