Hello, Chez!
At midnight a ship sailing due north passes two lightships, A and B,
which are 10km apart in a line due east from the ship.
Lighship A is closer to the ship than B.
At 2 am the bearings of the lighship are 149° and 142°.
(a) Find the distance of the ship from A at 2am.
(b) Find the speed of the ship. Code:
N


Q *
 * *
31°* 7°*
 * *
y  * x *
 * *
 * 52° *
P *       *       *
A 10 B
At midnight, the ship is at
Two hours later, it is at
. .
. .
Let
In right triangle
In triangle
Law of Sines: .
(a) Therefore: .
In right triangle
Hence: .
(b) Therefore, the ship's speed was: .