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Trigonometry question
Two cars A and B are parked back to back in the desert, one facing East, the other West.
Car A sets off and drives 5 Km in a straight line West, makes a 90° turn left and drives for a further 4 Km before making another 90° right turn and stops after driving a further 3 Km.
Meanwhile, car B drives 7Km East, makes a 90° right turn and drives 2 Km before making a 90° left turn and driving a further 1 Km.
As the crow flies, how far apart are cars A and B?
Car A sets off and drives 5 Km in a straight line West, makes a 90° turn left and drives for a further 4 Km before making another 90° right turn and stops after driving a further 3 Km.
Meanwhile, car B drives 7Km East, makes a 90° right turn and drives 2 Km before making a 90° left turn and driving a further 1 Km.
As the crow flies, how far apart are cars A and B?
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No best answer has yet been selected by jbetz. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.I've had another look at this and think that if you add the East West directions and both cars drive south you can draw a diagram that lets you draw a line between car A's 1st turn and car B's 2nd turn giving a hypotenuse that forms an isosceles (both being equal) to the distance between them.
So I think it's 16.12Km?
So I think it's 16.12Km?
Interesting how if you walked in the right direction along the hypotenuse you would only need to walk 120m more than the east - west distance of 16km to get there. But if you went due east or west for 16km you would then have 2 km more to go north or south.
I think this explains why it takes me so much longer to get back from the pub than to go there...
I think this explains why it takes me so much longer to get back from the pub than to go there...