Answer:
Angle α = 10.36° ≈ 10°
Step-by-step explanation:
In this case we have right triangle the ramp is hypotenuse and vertical distance is right side of triangle.
In accordance with the definition of the sinus we have
sinα = 80/445 = 0.1797 => α = arc sin 0.1797 = 10.36°
Angle of elevation α = 10.36° ≈ 10°
God with you!!!
The angle of elevation from the car to the end of the ramp is 10°
sin θ = Opposite side/Hypotenuse
cos θ = Adjacent side/Hypotenuse
tan θ = Opposite side/Adjacent side
According to the question, the car is traveling up a steep ramp to a parking garage.
The ramp is 445 feet long and rises vertically 80 feet.
Here, the ramp & vertical distance forms a right angle triangle where the vertical distance makes right angle with the base & the ramp is the hypotenuse of the right angle triangle.
Let, The angle of elevation from the car to the end of the ramp is θ
Then, Vertical distance is the opposite side of θ.
So, sin θ = Opposite side/Hypotenuse
⇒ sin θ = 80/445
⇒ sin θ = 16/89
⇒ sin θ = 0.179
⇒ θ = 10.31° = 10° (approx)
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