Awheelchair access ramp has an angle of elevation of 20°. if the ramp reaches to the top of a 33 inch high porch, how long is the ramp?

Sinα=height/length

length=height/sinα, we are given that α=20° and h=33 in

length=33/sin20° in

length≈96.49 in (to nearest hundredth of an inch)

This is a sin operation, Sin is the relationship between the opposite (height) and the hypotenuse (length of ramp). Plugging in: Sin(20deg) = 33/x

Sin(20) = 33/x

x*Sin(20) = 33

x = 33/Sin(20)

x = 96.49in long.

*This answer is the length of the SLOPE of the ramp.

x = 3

Step-by-step explanation:

If JL = 28, then JK = 14 - 28/2 = 14 (midpoint)

14 = 4x + 2

12 = 4x

x = 3