A 25-foot ladder leans against a wall so that the ladder's angle of elevation is
48°
. Find x, the distance from the base of the ladder to the building.(1 point)
In this scenario, the ladder forms a right triangle with the wall and the ground. The ladder acts as the hypotenuse, and the distance from the base of the ladder to the building is the adjacent side.
We can use the trigonometric function cosine to calculate the value of x.
cos(angle) = adjacent/hypotenuse
cos(48°) = x/25
To find x, we multiply both sides of the equation by 25:
25 * cos(48°) = x
Using a calculator, we can find that cos(48°) is approximately 0.6691.
x ≈ 16.73
Therefore, the distance from the base of the ladder to the building is approximately 16.73 feet.