2.
An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.
Airport -
Approximate the aircraft's horizontal distance from the airport once the desired altitude is reached, to the nearest
tenth of a mile. (G.9B)
A 12 miles
B 6 miles
C 8.4 miles
D 10.4 miles

Respuesta :

The answer is C. Took test and got it right.

The horizontal distance to reach an altitude of 6 miles is 10.4 miles.

Trigonometric ratio show the relationship between the sides and angles of a right angled triangle.

Let d represent the horizontal distance to reach an altitude of 6 miles.

Using trigonometric ratios:

[tex]tan(30)=\frac{6}{d} \\\\d=\frac{6}{tan(30)} \\\\d=10.4\ miles[/tex]

The horizontal distance to reach an altitude of 6 miles is 10.4 miles.

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