Question

A skateboard ramp is 4.1 feet high and 6 feet long along the horizontal. To the nearest

tenth of a degree, what is the measure of the angle that the ramp makes with a
horizontal line?
34.3°
55.7°
90°
46.9⁰

Answer 1

Answer: :)

Explanation:

To find the angle that the ramp makes with a horizontal line, we need to use trigonometry. The angle we are looking for is the angle between the ramp and the ground, which is the same as the angle between the hypotenuse of a right triangle (the ramp) and its adjacent side (the ground).

We can use the tangent function to find this angle:

tan(theta) = opposite/adjacent

In this case, the opposite side is the height of the ramp (4.1 feet) and the adjacent side is the length of the ramp along the ground (6 feet). So we have:

tan(theta) = 4.1/6

Using a calculator, we can solve for theta:

theta = tan^-1(4.1/6)

theta ≈ 34.3°

Therefore, to the nearest tenth of a degree, the measure of the angle that the ramp makes with a horizontal line is 34.3°.