A lighthouse is 15miles east off a dock, At noon, a ship leaves the dock and sails at the rate of 14mikes an hour. find the bearing of the ship and it's distance from the lighthouse at 4pm. At what time will it be 20miles from the lighthouse

you don't give the direction of the ship.

All we know so far is that after t hours, the ship has sailed 14t miles.
and when you ask for the bearing of the ship, you want bearing from where? The dock? The lighthouse?

Did you know?

Did you know that the bearing of a ship refers to the direction in which it is moving? In this scenario, suppose a lighthouse is situated 15 miles east off a dock. At noon, a ship sets sail from the dock, cruising at a speed of 14 miles an hour. By 4pm, the ship will have been sailing for 4 hours, covering a distance of 14 miles per hour multiplied by 4 hours, which equals 56 miles. To determine the bearing of the ship, we can draw a straight line connecting the dock, the lighthouse, and the ship's current location. The bearing is the angle of this line relative to a reference point, such as North. However, without further information, such as the geographic coordinates, it is challenging to precisely determine the bearing. Additionally, to find out at what time the ship will be 20 miles from the lighthouse, we need additional information, such as its speed and direction during the journey.