SOLUTION: A ramp inclined at 25 degrees has a vertical rise of 30 m. Find the length of the ramp

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Question 930566: A ramp inclined at 25 degrees has a vertical rise of 30 m. Find the length of the ramp
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!


The side opposite to the 25° angle is the 30 m rise.
The hypotenuse is the length of the ramp L.

Since SINE=OPPOSITE%2FHYPOTENUSE, we have the equation:

sin%28%2225%B0%22%29%22%22=%22%2230%2FL

Put 1 under the sin(25°)

sin%28%2225%B0%22%29%2F1%22%22=%22%2230%2FL

Now we can cross-multiply:

L%2Asin%28%2225%B0%22%29%22%22=%22%2230

Divide both sides by sin(25°):

L%22%22=%22%2230%2Fsin%28%2225%B0%22%29

Get your calculator and get

L%22%22=%22%22matrix%281%2C2%2C70.98604749%2Cm%29

Round to as many decimal places as your 
teacher tells you to.

Edwin