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nicholas
Junior Member

USA
5 Posts

 Posted - 06/03/2011 :  16:11:40 This is the question:A triathalon runner racing at sea level begins to grimly scale a hill with an angle of elevation of 9 degree. At the beginning of the hill she passes a 30 km marker and at the top of the hill she passes the 32 km marker. How high is the hill to the nearest metre?the answer is 0.313 km.It sounds easy but I can't solve it.Please help.Thank you.

the_hill1962

USA
1469 Posts

 Posted - 06/04/2011 :  14:56:10 Here is a diagram:..........................2km...............**...........................*.....................* y.........*........9.............................*****************************************.......................xThe 9 degree angle is opposite the height (side y) and the 2km is the hypotenuse. The side "x" is not needed.You should know that sin=oppo/hypThat is sin(9)=y/2solve for y.
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