How Far East Must a Biker Travel to Reach His Destination?

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AI Thread Summary
A biker is traveling due north from a town to reach a cabin located 100 km at a bearing of 20 degrees west of north. The problem requires determining how far east he must travel to intersect an east/west road. The discussion includes applying trigonometric functions and the Pythagorean theorem to solve the problem. Initially, the poster struggled with understanding the question but later managed to find a solution. The focus is on calculating the eastward distance based on the given coordinates.
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Homework Statement


A biker travels from a town due north along a secondary road. If the cabin he is going to is 100km N 20o W of the town, how far east will he have to travel when he reaches the east/west road?


Homework Equations


Sine,Cos,Tan, a^2+b^2=c^2


The Attempt at a Solution


i tried drawing this question out, but i can't seem to understand what it is I am suppossed to do..
 
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nevermind. i figured it out.
 

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