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A vessel steams a course 050°T, distance 500 miles, from position 40°25 ́S 175°50 ́E. Find a final position.

A navigator on a ship sailing on a course of 330°at 16 knots (nautical miles per hour) observes a lighthouse, due north of the ship. Fifteen minutes later, the lighthouse is due east of the ship. How far is the lighthouse at that instant?


The bearing of a lighthouse from ship A is 29°NE and the bearing of that same lighthouse from ship B is 61°NW. If ship A and ship B are on the east-west line 200 km apart, how far is ship B from the lighthouse?
Two ships leave a port at the same time. The first ship sails on a course of 35°at 15 knots while the second ship sails on a course of 125°at 20 knots. After 2 hours find the: (a) distance between the two ships; (b) bearing of the first ship from the second ship; and (c) bearing of the second ship from the first ship.
The bearing of a lighthouse from ship A is 29°NE and the bearing of that same lighthouse from ship B is 61°NW. If ship A and ship B are on the east-west line 200 km apart, how far is ship B from the lighthouse?
Write the Golden Ratio up to 30 decimals places.
The area of a rhombus is 143m2. If the longer diagonal is 26m,
find the length of one side of the rhombus and its altitude.
The bearing of a lighthouse from ship A is 29°NE and the bearing of that same
lighthouse from ship B is 61°NW. If ship A and ship B are on the east-west line 200 km
apart, how far is ship B from the lighthouse?

David Beckham is attempting a goal. He is standing 52 m from one goal post and 50 m from the other. From where he is standing the angle between the goal posts is 7 degrees. Determine the width of the soccer net. Include a diagram with your solution.


A PLDT Tower and a monument stand on a level plane.
The angles of depression of the top and bottom of the
monument viewed from the top of the PLDT Tower is 13
degrees and 35 degrees respectively. The height of the
tower is 50m. Find the height of the monument.
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