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A hill rises from the horizontal at 15º. The road leading straight up the hill is 800 meters long. How much higher is the top of the hill than the base of the hill? Round to the nearest meter. (Enter only the number.)

 Oct 15, 2014

Best Answer 

 #1
avatar+33661 
+5

This is a right-angled triangle in which you want to know the opposite length given the hypotenuse and the angle.  This means using the sine function.

 

sin (15°) = height/800

or

height = 800*sin(15°) meters

 

You can do this on the calculator here.

.

 Oct 15, 2014
 #1
avatar+33661 
+5
Best Answer

This is a right-angled triangle in which you want to know the opposite length given the hypotenuse and the angle.  This means using the sine function.

 

sin (15°) = height/800

or

height = 800*sin(15°) meters

 

You can do this on the calculator here.

.

Alan Oct 15, 2014

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