Part E
After testing out your skateboard ramp, you and your friends decide that it’s too steep. You decide to redesign the ramp so that the angle of elevation is only 20∘ However, you want the length of the ramp to stay the same. In the new design, about how much farther will the ramp extend horizontally from the platform than in the original design? Show the steps that justify how you arrived at your answer.


Part C
Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work, rounding to the nearest hundredth, if necessary.
Part D
Another friend claims that you can use the cosine ratio to find the height of the platform. Explain why his approach is or isn’t a reasonable approach to finding the height of the platform.


Part A
One friend claims that to find the height of the platform, you need to use the tangent ratio. Explain why her approach is or is not a reasonable approach to finding the height of the platform.
Part B
Find the height of the platform. Explain the trigonometric ratio that you chose to use and why you chose it. Show your work, rounding to the nearest hundredth, if necessary.