Step One
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This is a bit nasty on the surface, but it does work out.
Get the complements at A and B so that the third angle can be found.
Compliment A = 90 - 36o 20' = 53o 40'
Compliment B = 90 - 53o 40' = 36o 20'
Step Two
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Add the two compliments together.
53o 40' + 36o 20' = 90 degrees. Isn't that a surprise!
Step 3
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Find the third angle
180 - 90 = 90
Step 4
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Using the complement at A (36o20') find the length of transmitter to B
Call the transmitter T. The angle at T is the 90o angle.
You want the opposite side to A
Sin(36o20') = op/ hyp
hypotenuse = 2
Sin(36.333333) * 2 = TB
TB = 1.1849 miles
