A hill frequently used for sled riding has an angle of elevation of 25 degrees at it's bottom. If the length of a sledders ride is 52 ft, estimate the height of the hill.

Respuesta :

Answer:

  22 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the necessary relationship. If the sledding slope is modeled as the hypotenuse of a right triangle with 25° as one of the acute angles, the side opposite the angle (the hill height) satisfies ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin

  height = (52 ft)sin(25°) ≈ 22.0 ft

The height of the hill is about 22 feet.