Question

Dan is planning a motorcycle jump, and the base of the ramp has a width of 10 feet and an angle of inclination of 30 degrees. What is the height of the incline?

a) 5 feet
b) 8.66 feet
c) 10 feet
d) 15 feet

Answer 1

To find the height of the incline, we can use the trigonometric relationship between the angle of inclination and the height of the triangle formed by the ramp. The height of the incline is 5 feet.

Step-by-step explanation:

To find the height of the incline, we can use the trigonometric relationship between the angle of inclination and the height of the triangle formed by the ramp. In this case, the angle of inclination is 30 degrees. We can use the sine function to solve for the height. The formula to find the height (h) is h = base * sin(angle). Plugging in the values, we have h = 10 feet * sin(30 degrees) = 10 * 0.5 = 5 feet.

Therefore, the height of the incline is

5 feet

.