Question

A ramp at a skate park is 40 feet long and has a 30° incline. What is the height of the ramp?

Answer 1

20 feet

The equation is sin30 = x/40. U would type 30 sin in the calculator to get 0.5. Then u multiply that by 40 to get the answer 20.

Hope this helped :)

Answer 2

20 feet

Explanation:

To find the height of the ramp, we can use trigonometry and the relationship between the angle of inclination, the opposite side, and the hypotenuse of a right triangle.

In this case, the height of the ramp is the opposite side, and the length of the ramp (40 feet) is the hypotenuse. The angle of inclination, which is 30°, is the angle between the height (opposite) and the length (hypotenuse) of the right triangle.

Using the trigonometric function sine (sin), we can calculate the height of the ramp as follows:

sin(30°) = opposite/hypotenuse

Rearranging the equation to solve for the opposite side (height), we get:

opposite = sin(30°) x hypotenuse

Substituting the values we know, we get:

opposite = sin(30°) x 40 feet

opposite = 0.5 x 40 feet

opposite = 20 feet