Question

A wheelchair ramp near the door of a building has an incline of 15 degrees and a run of 7.11 m from the door. Calculate the length of the ramp to the nearest hundredth of a metre.

Answer 1

Angle of elevation is 15 degrees and we're trying to solve for the hypotenuse of the right triangle given the adjacent is 7.11 m. 

We could use primary trig ratios to solve - COS. 

Let x represent the length of the ramp (hypotenuse) 

Cos15= ADJACENT/HYPOTENUSE 
Cos15= 7.11/x 
x=7.11/cos15 
x=7.36 m 

Therefore, the ramp is 7.36 m in length.

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