If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 17 feet long, what angle does the ramp make with the ground

Respuesta :

Answer:

10.16°

Step-by-step explanation:

To solve for this question, we use Sine rule

Sin θ = Opposite/Hypotenuse

θ =??

Opposite = Height of the truck = 3 feet

Hypotenuse = length of the ramp = 17 feet

Hence

Sin θ = 3/17

Sin θ = 0.1764705882

θ = arcsin(0.1764705882)

θ = 10.16424862°

Approximately

10.16°

The angle the ramp makes with the ground is 10.16°

The angle that the ramp makes with the ground is 10.2 degrees

The set-up will give a right triangle.

Given the following parameters:

  • Length of the ramp = 17feet (hypotenuse)

  • Height of the truck = 3feet (opposite)

To get the angle of elevation, we will use the SOH CAH TOA identity as shown:

Sin theta = opp/hyp

Sin theta = 3/17

theta = arcsin(3/17)

theta = 10.2 degrees

Hence the angle that the ramp makes with the ground is 10.2 degrees

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