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Anna11 [10]
2 years ago
8

Suppose a ramp 2 ft high makes an angle of 4.8° with the ground. Find the length of the ramp.​

Mathematics
1 answer:
tia_tia [17]2 years ago
4 0

Answer:

23.9 ft (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio to find the length of the ramp.

\sf \sin(\theta)=\dfrac{O}{H}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = 4.8°
  • O = height of ramp = 2 ft
  • H = length of ramp

Substituting the given values into the formula and solving for H:

\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}

\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}

\implies \sf H=23.9\:ft\:(nearest\:tenth)

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----------------------

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