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Mathematics

Calculating Heights and Distances

There is a ne...

Question

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

67

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116

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128

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134

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Solution

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

Therefore, $cos (30) = \frac{\sqrt{3}}{2}$ $= \frac{116}{x}$

$\Rightarrow x = 134$ inches

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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.

The correct option is D 134Distance of ramp bottom from bottom step 8 feet =8×12=96 inchesDistance of ramp bottom from building bottom =96+20=116 inchesTherefore, cos(30)=√32 =116x⇒x=134 inches

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

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

Therefore, $cos (30) = \frac{\sqrt{3}}{2}$ $= \frac{116}{x}$

$\Rightarrow x = 134$ inches