Question

Aiden leans a 30-foot ladder against a wall so that it forms an angle of 78° with theground. What's the horizontal distance between the base of the ladder and the wall?

Answer 1

Given:

Ladder = 30 feet

Angle = 78

Find-:

Distance between the base of the ladder and wall

Explanation-:

Angl of ground is 78

Ladder length = 30feet

Let the distance between the base of the ladder is "x"

Apply trigonometric property than:

$\cos\theta=\frac{\text{ Base}}{\text{ Hypotenuse }}$

So, the horizontal distance is:

$\begin{gathered} \cos\theta=\frac{\text{ Base}}{\text{ Hypotenuse}} \\ \\ \cos78=\frac{x}{30} \\ \\ x=30\times\cos78 \\ \\ x=30\times0.207 \\ \\ x=6.237 \end{gathered}$

So the value of the horizontal distance is 6.237 feet.