Physics
24.10.2020 05:17
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A ship sets out to sail to a point 111 km due north. An unexpected storm blows the

A ship sets out to sail to a point 111 km due north. An unexpected storm blows the ship to a point 113 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination
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zahraaa1
zahraaa1
4,5(21 marks)

Ship has to  travel 158.4 km in the direction of \theta = 44.48 ° N of W to reach its original destination.

Explanation:

From the ΔABC

AB = 111 KM

BC = 113 KM

Now from the pythagoras theorm

AC^{2} = AB^{2}  + BC^{2}

AC^{2} = 111^{2} + 113^{2}

AC = 158.4 km

\tan \theta = \frac{AB}{BC}

\tan\theta = \frac{111}{113}

\tan\theta = 0.9823

\theta = 44.48 ° N of W.

Therefore ship has to  travel 158.4 km in the direction of \theta = 44.48 ° N of W to reach its original destination.


A ship sets out to sail to a point 111 km due north. An unexpected storm blows the ship to a point 1
girdwood6678
girdwood6678
4,5(47 marks)
I believe the answer is either 1.6 or 9.8

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