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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 is $295$ miles directly east of Pierre, how far apart are Bismarck and Pierre? select your answer to the nearest mile.

170

160

150

140

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Elijah Discussed

An aeroplane leaving from Bismarck travels on a bearing of

12 0^{o}

, as shown in the figure. If the plane is

295

miles directly east of Pierre, how far apart are Bismarck and Pierre? select your answer to the nearest mile.

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

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

6 0^{o}

So,

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

where,

x

is the distance between Bismarck and Pierre.

∴ x = \frac{295}{3} = 170.31

miles, the nearest integer being

170

miles

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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 is $295$ miles directly east of Pierre, how far apart are Bismarck and Pierre? select your answer to the nearest mile.
Answer Type	Text solution:1
Upvotes	150