Find the speed of the boat relative to the current

AI Thread Summary
To find the speed of the boat relative to the shore, the boat's speed in still water is 1.95 and the current's speed is 1.10. The correct approach involves using the Pythagorean theorem, where the boat's speed and the current's speed are the two perpendicular components. The boat must steer at an angle to counteract the current and ensure it travels directly across the river. This results in a calculated speed relative to the shore that combines both speeds appropriately. Understanding the angle and resultant speed is crucial for accurate navigation across the river.
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edit: woops I messed up the title. It should have been relative to the shore.

Homework Statement


A boat’s speed in still water is 1.95 . The boat is to travel directly across a river whose current has speed 1.10 . Determine the speed of the boat with respect to the shore

Homework Equations


I'm not sure.

The Attempt at a Solution


I thought it would be a sqauared plus b squared is equal to c squared. a being the speed of the boat in still water, b being the current and c being the speed with respect to the shore. This however does not give the right answer
 
Last edited:
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When it says 'directly across', I think it means the boat is to finish directly across from where it started. How is that to be achieved?
 
boat crossing river

The boat have to steer at an angle in order go right across the river.
 

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