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

Algebra.Com
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)   (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) =
d =
d = 174.436 km

RELATED QUESTIONS

Two radio transmitters are positioned along the coast, 500 miles apart. A signal is sent... (answered by richwmiller)
How would you do this?? Two coast guard stations located 65 miles apart on a north to... (answered by Alan3354)
Two stations, located at A (-1.5, 0) and B (1.5, 0) (units are in km), simultaneously... (answered by ikleyn)
Two control towers are located at points Q(500, 0) and R(500, 0), on a straight shore... (answered by ikleyn)
Two control towers are located at points Q(-400,0) and R(400,0), on a straight shore... (answered by htmentor)
Two stations, located at M(−1.5,0) and N(1.5,0)(units are in km), simultaneously send... (answered by CPhill)
Two Radio Stations are located 150 miles apart,where station A is West of station B.... (answered by ikleyn,Alan3354)
Please help! Thank you in advance! Two ships A and B start from the same port at 8am. (answered by stanbon)
You are part of the rescue team in a ship at... (answered by richwmiller)