Question

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 James from Cooma now? Answer to the nearest km.
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Answer 1

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.