Riding the Train -Vecotrs & components

AI Thread Summary
To determine the speed and direction of a passenger walking eastward at 5.4 mi/hr on a train traveling north at 16.0 mi/hr, the velocities must be added as vectors. The vertical component is 16.0 mi/hr (north) and the horizontal component is 5.4 mi/hr (east). Using Pythagoras' Theorem, the resultant speed can be calculated as the hypotenuse of the triangle formed by these two components. The angle can be found using trigonometric functions to determine the compass heading. The final result will provide both the speed relative to the ground and the direction in degrees.
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Riding the Train --Vecotrs & components

A passenger train is cruising directly to the north at 16.0 mi/hr.
what are the speed and (numerical) direction of a passenger with respect to the ground on this train, if he now walks east-ward at 5.4 mi/hr?
---Compass heading in degrees: N=0, E=90, S=180, and W=270

I know i have to add velocities add as vectors.

Work-
i drew a triagle, the y commponent being 16 and the x (hoizontal) component being 5.4 and i ahve to ifnd the resultant speed. aka: the hypothenuse of the triangle.
But i don't know how to do that when i don't have an angle.
Please help
 
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Hint: Pythagoras' Theorem.
 

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