To go from a town A to town B a plane must fly about 1780km at an angle of 30⁰ west of north .how far west of A is B?
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This motion can be represented on a right angled triangle.
The point A and B lie on the same plane thus AB forms the length of the base of this triangle.
Since Point C is at an angle 30° from A, it forms the hypotenuse.
The length of the hypotenuse is :
= 1780Km.
We want to get length from North of A where B is.
This is the length CB.
Using trigonometric ratios we have :
Sin 30° = BC / 1780
BC = 1780 Sin 30°
BC = 890 km
Explanation:
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