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A 10m loading ramp that makes an angle of 26 degrees with the horizontal is to be replaced by a ramp whose anlge of inclination is only 8 degrees. How long will the new ramp be?

jehann002

by jehann002 at March 01, 2011

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Jehann -Always draw a picture of the problem and fill in the information provided:Here is the key to the problem: The height H will be the same for both ramps!Solve for H in the first triangle using:sin(26) = H/10Once you know H, then use it to find the length (L) of the ramp in the second triangle:sin(8) = H/Lwhere H is the height from the first triangle and then solve for L.Hope that helps

Steve204 Steve204 March 01, 2011

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The opposite side /hypotenus=sin of the anglefind the opposite side by solving X/10=sin26So X=10xsin26=4.4then use this X and solve fot the ramp.4.4/Ramp=sin8ramp=4.4/sin8=31.6m

chitra003 chitra003 March 02, 2011

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