A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 2 feet above the ground. The horizontal distance from the bottom of the ramp to the building is 15 feet. What is the angle of elevation of the ramp to the nearest degree?
A. 7deg
B. 82deg
C. 8deg
D. 0deg
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So if it's 7.5946 would we round it up to 8 or would it just be 7?
To find the angle of elevation of the ramp to the nearest degree, we can use some trigonometry.
The angle of elevation is the angle between the ramp and the horizontal ground. We can use the tangent function to find this angle.
Tangent = Opposite / Adjacent
In this case, the height of the ramp (2 feet) is the opposite side and the distance from the bottom of the ramp to the building (15 feet) is the adjacent side.
Tangent(angle) = 2 / 15
Now we can find the angle by taking the inverse tangent (arctangent) of both sides:
angle = arctan(2 / 15)
Using a calculator, we find that the angle is approximately 7 degrees.
Therefore, the answer is:
A. 7deg
To find the angle of elevation of the ramp, we can use basic trigonometry. The angle of elevation is the angle formed between the ramp and the ground.
We know that the opposite side of the angle is the height of the ramp and the adjacent side is the horizontal distance from the bottom of the ramp to the building.
Using the tangent function, which is defined as the opposite side divided by the adjacent side:
tan(angle) = height / distance
In this case, the height is 2 feet and the distance is 15 feet. Plugging in these values:
tan(angle) = 2 / 15
To find the angle, we need to take the inverse tangent (arctan) of both sides:
angle = arctan(2 / 15)
Calculating this using a calculator, we find that the angle is approximately 7 degrees.
Therefore, the answer is A. 7 degrees.