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Question

There is a need of ramp in a company. The ramp shown in the figure must be placed at an angle of 30o, eight feet from the bottom step. Calculate the approximate length of the ramp.
478574_639a9e01ddca41f0b0a15b92d65124f7.png

A
67
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B
116
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C
128
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D
134
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Solution

The correct option is D 134
Distance of ramp bottom from bottom step 8 feet =8×12=96 inches
Distance of ramp bottom from building bottom =96+20=116 inches

Therefore, cos(30)=32 =116x

x=134 inches

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