A wooden ramp is being built to provide wheelchair access to the park. Stacey, Bob and Katherine drew out an initial plan where the ramp would span a horizontal distance of 9 m and a vertical distance of 2.7 m. However, they decided the ramp would need extra support. As a result, they decided to place an extra vertical support 5.5 m from the point where the ramp meets the ground.

a. Use similar triangles to determine the length of the vertical support.

b. Use trigonometry to determine the length of the vertical support