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Answer :
A skateboard ramp has a slope 2/5. Option D. 22 degrees angle the ramp makes with the ground.
To find the angle the ramp makes with the ground, we can use the tangent function, which relates the opposite side to the adjacent side in a right-angled triangle.
The slope of the ramp, given as 2/5, represents the ratio of the rise (opposite side) to the run (adjacent side).
Then, the tangent of this angle is equal to the slope of the ramp:
[tex]\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{2}{5} \][/tex]
To find the angle we take the arctangent (inverse tangent) of the slope:
[tex]\[ \theta = \arctan\left(\frac{2}{5}\right) \][/tex]
Using a calculator, we can find the angle in degrees:
[tex]\[ \theta \approx \arctan\left(\frac{2}{5}\right) \times \frac{180}{\pi} \][/tex]
[tex]\[ \theta \approx 21.80144646407435^\circ \][/tex]
Rounding to the nearest whole number, we get:
[tex]\[ \theta \approx 22^\circ \][/tex]
Option D is correct.
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Rewritten by : Barada
we are given with the slope of a ramp that is equal to 2/5, that is x = 5 and y = 2. In this case, we can find the angle of elevation by using the formula: tan Ф = y/x
using a calculator (inverse tangent or arctangent), Ф = 21.8 degrees. In this case, the answer is D. 22 degrees.
using a calculator (inverse tangent or arctangent), Ф = 21.8 degrees. In this case, the answer is D. 22 degrees.
