To approach the runway, a pilot of a small plane must begin a 20° descent starting from a height of 3,760 feet above the ground.

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To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach? The figure is not drawn to scale.

(1 point)
Responses

10,993.5 mi
10,993.5 mi

2.1 mi
2.1 mi

1.8 mi
1.8 mi

0.8 mi

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

1.8 mi

To calculate this, we can use trigonometry.

By using the trigonometric sine function: sin(20°) = (3760 ft) / x

x = (3760 ft) / sin(20°) = 1.8 miles

Therefore, the airplane is approximately 1.8 miles from the runway at the start of the approach.