Question

A construction company is hired to build a wheelchair ramp for a restaurant. The ramp connects the handicap parking space (point A) to the top of the porch of the restaurant (point B) that is 4.5 feet higher than the ground level below it (point C making a right triangle ABC. The building regulations require the ramp angle to be 8 degrees, meaning angle A must be 8 degrees.
1. On a sheet of paper, draw the right triangle of the ramp and label the sides and angle A. Indicate which side is 4.5 ft.
2. Use the right triangle trigonometry and calculate the length of the ramp (sid AB). Show your work on the paper.

Answer 1

Answer:

1. diagram in the attachment

2. AB = 32.3 ft

Step-by-step explanation:

2. from the diagram:

$sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft$