Question #89209

1 Answer
Dec 15, 2017

13.58 miles and 10.47 miles

Explanation:

enter image source here

So, my interpretation of the geometry is the crude sketch above.

If this is correct, you can use the "law of sines" to solve the problem:

#(s2)/(sin(38)) = (s1)/(sin(53)) = 17/sin(89)#

...the last ratio you can calculate, since you have all the data. It's

#17/.99984 = 17.0026# (rounding)

So you can calculate s1 (distance from ship to p1) as:

#17.0026 * 0.79864 = 13.58# (rounding)

And s2 (distance from ship to p2) as:

#17.0026 * 0.61566 = 10.47# (rounding)

GOOD LUCK