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A fighter jet F and a helicopter H leave
the airport A at the same time. The jet
flies 25 km on a bearing of 040° and
the helicopter flies 30 km on a bearing
of 320°. How far apart are the aircraft?
(Use a scale of 1 cm to represent 5 km.)
​

Sagot :

mathstudent55

Answer:

35.6 km

Step-by-step explanation:

Use the Law of Cosines.

Let the airport be point A.

Let the jet be point B.

Let the helicopter be point C.

a² = b² + c² - 2bc cos A

a² = 30² + 25² - 2(30)(25)(cos 80°)

a = 35.6

Answer: 35.6 km

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