 Mathematics
3 April, 06:29

# 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 (5280ft = 1 mile). Round to the nearest foot.3450ft3998ft3960ft2760ft

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Answers (1)
1. 3 April, 06:50
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The elevation gained after travelling 1.5 miles will be 3960ft.

Step-by-step explanation:

Angle of elevation = 30°

Distance travelled = 1.5 miles

1 mile = 5280 ft.

1.5 miles = 5280 x 1.5

= 7920 ft.

The height from the ground 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 3960ft.
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