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what is the angle if a ant goes 5mm to the south and 6mm the SE?

 Jan 11, 2016

Best Answer 

 #1
avatar+130511 
+10

Here's a picture of what I think you are describing:

 

 

The ant starts at "A" and travels 5mm to "B".......then, it turns to the SE and travels 6 more mm.....the angle ABC  = 135°

 

If you want to know angle CAB, we can use trig

 

sinCAB / 6 = sin[135]/10.28

 

sinCAB  = 6sin[135]/10.28

 

sinCAB = 0.412708

 

And using the sine inverse.....

 

arcin(0.412708)  = CAB  = about 24.38°

 

 

 

cool cool cool

 Jan 11, 2016
 #1
avatar+130511 
+10
Best Answer

Here's a picture of what I think you are describing:

 

 

The ant starts at "A" and travels 5mm to "B".......then, it turns to the SE and travels 6 more mm.....the angle ABC  = 135°

 

If you want to know angle CAB, we can use trig

 

sinCAB / 6 = sin[135]/10.28

 

sinCAB  = 6sin[135]/10.28

 

sinCAB = 0.412708

 

And using the sine inverse.....

 

arcin(0.412708)  = CAB  = about 24.38°

 

 

 

cool cool cool

CPhill Jan 11, 2016

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