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 I need help with introductory trigonemetry
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nicholas
Junior Member

USA
5 Posts

Posted - 06/03/2011 :  16:11:40  Show Profile  Reply with Quote
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.
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the_hill1962
Advanced Member

USA
1468 Posts

Posted - 06/04/2011 :  14:56:10  Show Profile  Reply with Quote
Here is a diagram:

..........................2km...............**
...........................*.....................* y
.........*........9.............................*
****************************************
.......................x
The 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/hyp
That is sin(9)=y/2
solve for y.
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