Monday

December 22, 2014

December 22, 2014

Posted by **Shihara** on Thursday, March 15, 2012 at 8:10am.

- Math -
**Steve**, Thursday, March 15, 2012 at 2:07pmsince the lighthouse is 10 mi NE of the dock, it is 7.07mi east and 7.07 mi north. (legs of a 45-45-90 triangle)

Now, if the ship is 8 mi from the lighthouse, we have a new x-7.07-8 triangle, so x = 3.74.

Now, the distance from the dock to the ship is 7.07 - 3.74 = 3.33 mi.

At 12 mi/hr, that would take 3.33/12 = .277777 hours, or 16'40"

So, at 12:16:40 the ship is 8 mi from the lighthouse

Note: the ship will also be 8 miles from the lighthouse after it has passed it and is east of the lighthouse. From the above data, you can figure the second time with no trouble.

**Answer this Question**

**Related Questions**

trig - A lighthouse is 14 miles east of a dock. A ship sails N33degreesE from ...

math - A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/...

math - A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/...

math - A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/...

math - Howard leaves the dock and sails 2.5miles west He turns south and sails 3...

Calculus - Suppose that two boats leave a dock at different times. One heads due...

pre calc - Lighthouse B is 8 miles west of lighthouse A. A boat leaves A and ...

math - A fisherman had to be at an appointment at 10:30. He went fishing at 7:00...

trig - Illustrate and solve. A monument near a dock is 12 miles east of a ship. ...

Trigonometry - Navigation A ship leaves port at noon and has a bearing of S 29° ...