Respuesta :

joshlind3

Answer:

Step-by-step explanation:

We know that the angle of elevation is 8 degrees.

We know that the height of the opposite side of the angle is 3 feet.

We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)

We can do this with tangent

[tex]tan(8) = \frac{3}{adj} \\adj = \frac{3}{tan(8)} \\adj = 21.34611 feet[/tex]

fichoh

The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets

  • Angle of elevation = 8°
  • Rise = opposite = 3 feets
  • Distance, d = adjacent

Using SOHCAHTOA :

Tanθ = Opposite / Adjacent

Tan(8°) = 3 / d

0.1405408 = 3 / d

0.1405408d = 3

Divide both sides by 0.1405408 to isolate d

0.1405408d / 0.1405408 = 3 / 0.1405408

d = 21.34 feets

Therefore, the distance of the ramp from the door should be 21.34 feets

Learn more : https://brainly.com/question/14991482

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