Monday

April 21, 2014

April 21, 2014

Posted by **Tiffany** on Monday, April 2, 2012 at 10:33pm.

- calculus -
**Reiny**, Monday, April 2, 2012 at 11:41pmLet the coordinates of the ship be P(x,y)

so AP =2 and BP=5

√(x^2+y^2) = 2

x^2+y^2 = 4 , (#1)

√( (x^2 + (y-6)^2 ) = 5

x^2 + y^2 - 12y + 36 = 25

x^2 + y^2 - 12y = -11 , (#2)

#1 - #2 :

12y = 15

y = 15/12 = 5/4 = 1.25

then in #1:

x^2 + 225/144 = 4

x^2 = 39/16

x = ± √39/4

The ship could be at (√39/4 , 5/4) or (-√39/4 , 5/4)

**Related Questions**

calculus - A lighthouse is built on an exposed reef, 5.5 miles off-shore. The ...

calculus - A lighthouse is built on an exposed reef, 5.5 miles off-shore. The ...

trigo - a tugboat is 36km due north of lighthouse C. Lighthouse B is directly ...

physics - Three charges are arranged as follows: +3 mC located on the y-axis at...

Calculus - The captain of a ship at sea sights a lighthouse which is 260 feet ...

pre-calc - two lighthouses A and B are positioned along the coast.A ship is ...

trig - a lighthouse is located at point A. a ship travels from point B to point ...

Pre-Calculus-Trig - A boat travels for 8 kilometers in a straight line from the ...

geometry - Daniel sees a lighthouse in the harbor. He estimates the angle of ...

Algebra 3 and trig - An ocean liner is 177 miles due west of lighthouse A. ...