Question

If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much elevation have you gained in feet (5280 ft = 1 mile)?

Answer 1

The elevation gained after travelling 1.5 miles = 3960 ft.

Explanation:

Given data,

Angle of elevation = 30°

Distance traveled= 1.5 miles

1 mile = 5280 ft.

Therefore 1.5 miles = 5280 x 1.5

= 7920 ft.

The height can be calculated by,

sin 30° = height / 7920

1/2 = height / 7920

Height = 7920/2

= 3960 ft.

The elevation gained after travelling 1.5 miles will be 3960 ft.