Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28degrees
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.
To find the height of the ramp at its highest end, we can use the trigonometric relationship of sine for the angle of elevation.
sin(angle) = opposite/hypotenuse
sin(28) = height/30
height = 30*sin(28)
height ≈ 13.57 inches
Therefore, the ramp will rise approximately 13.57 inches from the ground at its highest end.