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**[SOLVED] Vectors: air speed, ground speed**

I'm having trouble drawing the diagram for this question.

## Homework Statement

An airplane with air speed 120 km/h is heading due north in a wind blowing due east at 50 km/h. What is the ground speed of the plane?

## Homework Equations

Pythagoras theorem.

## The Attempt at a Solution

I've attached my version of the diagram with this message. I used the Pythagoras theorem since the wind blowing due east and the plane headed north meet at 90 degrees.

ground speed = sq. root {(120^2 + 50^2)}

= 130 km/h

The answer is supposed to be 60 km/h. Can someone please help or tell me where I went wrong? Thank you!

#### Attachments

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