Hello, we were asked to make a situational problem involving polar coordinates. I have already made one and answered it as well. But can you please check if the question and solution are correct? Are there better wordings to make my question clearer? or if the solution is wrong?

Situational Qroblem: You went to visit your friend who has lived in Young's Town her whole life. One day she invited you to a mall get-together. She said that the mall will be just a walking distance from the hotel you stay in. She took out a huge map and pointed out that the mall is just 500 meters southeast of the hotel. Given that you cannot walk diagonally through the town lled with blocks and buildings, in which directions should you walk to go the mall? Given: I 500 rn southeast from the hotel I Equivalent to 500 m and 315\" n Equivalent to 500 m and 74" Asked: 4.- n Alternate directions to reach the mall Formula: I Polar to Ca rtesian Coordinates n x = r' cos 6' n y = rsin 9 Solution: n )t coordinate n x = rcos n x = 500603315 'i'TI . x = 500(7') . x = 353.55 I 'i" coordinate n y = rsin i? n y = Ssin 3'15 - y = soot$1 n y = 353.55 Final Answer: 5 I You can go 353.55 meters to the east and then go 353.33 south to reach the mall