A wheelchair 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 t

Question

Brums [2.3K]

3 years ago

10

A wheelchair 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 t

he ramp?

Mathematics

2 answers:

sashaice [31] · Answer 1 · 2022-04-13T06:07:26+03:00

sashaice [31]3 years ago

8 0

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)

ella [17] · Answer 2 · 2022-04-13T08:09:51+03:00

ella [17]3 years ago

3 0

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.