Question

Help!

An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?

Answer 1

1863.5 feets

Explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets