79.0k views
2 votes
A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.

1 Answer

5 votes

Answer:

7.66 km

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

A village is 10km on a bearing 050° from a point O. Calculate how far the village-example-1
User JulienD
by
4.3k points