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Flauer [41]
3 years ago
8

James takes off from Cooma and flies 452 km due south. He then turns and flies N37°E until he is due east of Cooma. How far is J

ames from Cooma now? Answer to the nearest km.
​
Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer: \mathbf{341 km}

Step-by-step explanation:

Given

James takes off from Cooma and flies 452 km to south

after that he travels 37^{\circ} East of North to reach east of Cooma

Suppose he is \mathbf{x}\ km from Cooma

Form the figure, it can be written

\Rightarrow \tan37^{\circ}= \dfrac{x}{452}\\\\\Rightarrow x=452\tan 37^{\circ}\\\Rightarrow x=340.6\ km\approx 341\ km

Thus, James is \mathbf{341 km} east to initial position.

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