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26 October, 23:00

A 50 foot ramp makes an angle of 4.9° with the horizontal. to meet new accessibility guidelines, a new ramp must be built so it makes an angle of 2.7° with the horizontal as shown below. what is the length of the new ramp?

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  1. 27 October, 00:21
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    This is the concept of trigonometry, for us to calculate the new length we will need to calculate the adjacent length, this will be given by:

    cos theta=[adjacent]/[hypotenuse]

    theta=4.9°

    hypotenuse=50 ft

    adjacent=a

    thus;

    cos 4.9=a/50

    a=50cos4.9

    a=49.82ft

    thus the new length will be given by:

    cos 2.7=49.82/h

    h=49.82/cos 2.7

    h=49.97

    the new length will be 49.97 ft
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