A 20 foot ladder is leaned against a wall. The top of the ladder leans fifteen feet above the ground on the wall. What is the angle formed by the base of the ladder and the ground

Respuesta :

Answer:

  48.6°

Step-by-step explanation:

The relation between the side of a right triangle opposite the angle, the hypotenuse, and the angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(angle) = (15 ft)/(20 ft)

  angle = arcsin(15/20) ≈ 48.6°

The angle with the ground at the base of the ladder is about 48.6°.