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nevsk [136]
3 years ago
15

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from t

he airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m

So, the height of the plane is 404.98 m.

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