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## Homework Statement

A pilot wishes to fly at maximum speed due north. The plane can fly at 100km/h in still air. A 30km/h wind blows

**from**the south-east.

Calculate:

a) The direction the plane must head to fly north.

b) Its speed relative to the ground.

## Homework Equations

Sine Rule: a/SinA=b/SinB=c/SinC

Cosine Rule: a

^{2}=b

^{2}+c

^{2}-2acCosA

## The Attempt at a Solution

I attached a photo because I didn't know how to do maths on here.

The answer I got was 9.93 degrees and 123km/h

https://pasteboard.co/HwvgTjt.png

The answers from the sheet I'm working off say 12.24 degrees and 119km/h. And I don't understand how their way is correct. To get the angle they did: sin45/100=sinθ/30 If 100 is the planes speed it wouldn't be opposite to the angle of the direction of the wind.

#### Attachments

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