Trigonometry

Question

two ships A and B leave a port O at the same time. Both ships sail for 2 hours. Ship A sails in the direction shown, at a speed of 12km/h. Ship B sails at a speed of. 16km/h. Find the distance between the ships after two hours of sailing 

N

 

                 A

 

O.      20Degrees                E

          70 degrees

 

             B

S 

Answer 1

Δ AOB is a right triangle. AB is the hypotenuse.

 

AB² = 24² + 32²       Pythagoras

AB² = 576 + 1024

AB² = 1600

AB = 40

 

The ships are 40 km apart.