Here, we are required to determine what time the ship will reach the port.
The time taken by the ship to sail directly to the port is 2 hours
The point L is a right angle between the lines SL and LP.
The lines joining the position of the ship, S , the lighthouse, L and the port, P therefore forms a right-angle triangle.
Therefore, since Line SP is the hypothenuse obviously,
By Pythagoras theorem;
(SP)² = (LP)² + (SL)²
where, LP = 15km and SL = 8km
(SP)² = (15)² + (8)²
(SP)² = (15)² + (8)²(SP)² = 289
SP = √289 = 17km
Therefore, the distance sailed by the ship directly to the port is; 17km.
Therefore, if the speed of the ship is 8.5km/h.
Speed = Distance/Time.
By subject of formula change;
Time = Distance/Speed
Time = Distance/SpeedTime = 17/8.5
Time = 2 hours.
Ultimately, the time taken by the ship to sail directly to the port is 2 hours.
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