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

Ship has to  travel 158.4 km in the direction of 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 = 158.4 km

= 0.9823

44.48 ° N of W.

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

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This is what a calorimeter is used for simpler ex, to measure calories in food.