TyFuller1 TyFuller1
  • 09-03-2021
  • Mathematics
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A ramp is 11 ft high as shown below. How long is the ramp to the nearest foot?

A ramp is 11 ft high as shown below How long is the ramp to the nearest foot class=

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eudora eudora
  • 14-03-2021

Answer:

Length of the ramp is 79 ft.

Step-by-step explanation:

From the picture attached,

Height of the ramp = 11 ft

Angle between the elevated ramp and the horizontal base = 8°

By applying sine rule in the given triangle,

sin(8°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{11}{x}[/tex]

x = [tex]\frac{11}{\text{sin}(8)}[/tex]

x = 79.03 ft

x ≈ 79 ft

Therefore, length of the ramp is 79 ft.

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