A ship

A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° and from B at 64° angle.

Correct answer:

x =  41.9 nm

Step-by-step explanation:

c=40 nm α=57°=57 β=64°=64  γ=180αβ=1805764=59   sin β :sin γ = x:c  x=c sinγsinβ=c sin59° sin64° =40 sin59° sin64° =40 0.8571670.898794=41.9=41.9 nm

Try calculation via our triangle calculator.




Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you want to convert length units?
Do you want to convert time units like minutes to seconds?
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: