SOLUTION: You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 109.0 km apart, one due south of the other. The direction finder shows yo

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Question 406606: You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 109.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 32° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You receive radio signals from two transmitters A and B, which are 109.0 km apart,
one due south of the other.
The direction finder shows you that transmitter A is at a heading of 32° south
of east from the ship, while transmitter B is due east.
Calculate the distance between your ship and transmitter B.
:
We can use the tangent of 32 degrees, side opposite is 109 km, side adjacent is the distance (d) from your position to Tx B
:
Tan(32) = 109%2Fd
d = 109%2Ftan%2832%29
d = 174.436 km