A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

519.8 feet

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

We solve this question using the Trigonometric function of Sine

sin theta = Opposite/ Hypotenuse

Theta = 12°

Hypotenuse = 2500 feet

Opposite = Height of the hill = x

Hence,

sin 12 = x/ 2500 feet

Cross Multiply

x = sin 12 × 2500 feet

x = 519.77922704 feet

Approximately = 519.8 feet

The height of the hill is 519.8 feet

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step-by-step explanatio89