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An aeroplane leaving from Bismarck travels on a bearing of 120

Question

An aeroplane leaving from Bismarck travels on a bearing of $12 0^{o}$ , as shown in the figure. If the plane flew at an average rate of $400$ miles per hour, how many minutes (approx) had it been in the air when it was $295$ miles from Pierre?

51

56

29

67

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An aeroplane leaving from Bismarck travels on a bearing of

12 0^{o}

, as shown in the figure. If the plane flew at an average rate of

400

miles per hour, how many minutes (approx) had it been in the air when it was

295

miles from Pierre?

8 mins ago

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8 mins ago

Text solutionVerified

The angle that the plane makes with the line joining Bismarck and Pierre is

6 0^{o}

We thus have

sin (6 0^{o}) = \frac{295}{x}

where

x

is the distance flown by the plane.

That distance becomes

x = \frac{295 \times 2}{3}

x = 340.63

Since the speed is

400

miles per hour, the time becomes

340.63/400 \times 60 = 51.0945

minutes

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Question Text	An aeroplane leaving from Bismarck travels on a bearing of $12 0^{o}$ , as shown in the figure. If the plane flew at an average rate of $400$ miles per hour, how many minutes (approx) had it been in the air when it was $295$ miles from Pierre?
Answer Type	Text solution:1
Upvotes	150