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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?

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Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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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 7o.  The height is the side opposite the 7o.
 
sin(7o) = opposite/hypotenuse = height/distance = h/6600
 
Solve for h.