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finlep [7]
3 years ago
9

To approach a runway, a plane must begin a 7° descent starting from a height of 3 miles above the ground. To the nearest mile, h

ow many miles from the runway is the airplane at the start of this approach?

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

24.43 miles.

Step-by-step explanation:

Please find the attachment.

We have been given that to approach a runway, a plane must begin a 7° descent starting from a height of 3 miles above the ground.

We know that tangent relates opposite side of right triangle with adjacent.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(7^{\circ})=\frac{3}{x}

x=\frac{3}{\text{tan}(7^{\circ})}

x=\frac{3}{0.122784560903}

x=24.4330392839047966

x\approx 24.43

Therefore, the airplane is approximately 24.43 miles from the runway at the start of the approach.

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