evelynnn2048 evelynnn2048
  • 24-02-2022
  • Mathematics
contestada

A skateboarding ramp is 12 in. high and rises at an angle of 11​°. How long is the base of the​ ramp? Round to the nearest inch.

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sqdancefan
sqdancefan sqdancefan
  • 25-02-2022

Answer:

  62 inches

Step-by-step explanation:

The side opposite the angle is given, and the length of the side adjacent to the angle is asked for. The appropriate trig relation is ...

  Tan = Opposite/Adjacent

  tan(11°) = (12 in)/(base length)

Solving for base length gives ...

  base length = (12 in)/tan(11°) ≈ 61.73 in

The base of the ramp is about 62 inches long.

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