Question

EMERGENCY HELP PLS: The state decided that the angle a wheelchair ramp

makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height = ? ft.
Distance along the ground ? ft.

Answer 1

1.9 feets (nearest tenth) ;

24.9 feets

Explanation:

Given that :

Angle, θ = 4.3°

Length of ramp = 25

Maximum Height, h ;

sinθ = opposite / hypotenus

Sin 4.3 = h / 25

0.0749787 * 25 = h

1.874 feet = h

1.9 feets (nearest tenth)

Distance along the ground the ramp could cover :

Cos θ = Adjacent / hypotenus

Cos 4.3 = x / 25

0.9971851 = x / 25

0.9971851 * 25 = x

x = 24.929

x = 24.9 (nearest tenth)