Answer:
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
