Question

A 25-foot ladder is leaning against the wall of a house. If the top of the ladder touches the wall 24 feet above the ground, what angle does the ladder make with the house?

Answer 1

Answer= 63.44° . To find the angle that the ladder makes with the house, use trigonometry and the sine function.

Step-by-step explanation:

To find the angle that the ladder makes with the house, we can use trigonometry. We have a right triangle formed by the ladder, the wall, and the ground. The length of the ladder is the hypotenuse of the triangle, the height of the wall is the opposite side, and the distance from the wall to the base of the ladder is the adjacent side.

Using the sine function, we can set up the equation sin(θ) = opposite/hypotenuse, where θ is the angle we want to find. Plugging in the values, we have sin(θ) = 24/25. Solving for θ, we find θ ≈ 63.44°.

Therefore, the ladder makes an angle of approximately 63.44° with the house.