A straight road leads from an ocean beach into the nearby hills. The road has a constant upward grade of 7°. After taking this road from the beach for a mile and a quarter, how high above sea level are you in feet?

*A straight road leads from an ocean beach into the nearby hills. The road has a constant upward grade of 7°. After taking this road from the beach for a mile and a quarter, how high above sea level are you in feet?*

First, convert 1.25 miles to feet

(1.25 miles)(5280 feet/mile) = 6600 feet

The 6600 feet of road is along the hypotenuse sloping up at 7

^{o}. The height is the side opposite the 7^{o}.sin(7

^{o}) = opposite/hypotenuse = height/distance = h/6600Solve for h.