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07-02-2021
Mathematics

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A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.

Respuesta :

12-02-2021

Answer:

7.66 km

Step-by-step explanation:

Let distance village is ; north of O = x

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = x

Hypotenus = 10

θ = 50°

Sin50 = x / 10

0.7660444 = x / 10

x = 0.7660444 * 10

x = 7.6604444

x = 7.66

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