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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