Question

good morning friends

Two ships leave a port at the same instant. One sails at 30km/hr in the direction N 32° E while the other sails at 20 km/hr in the direction S 58° E. After two hours the ships are distant from each other by.

have a great day​

Answer 1

Answer:

Let two ships started from point O at the speed of 30 km/hr and 20 km/hr respectively, after two hours they reach at points A and B.

Now, ∠NOA = 32° and ∠SOB = 58° ,

Then, ∠AOB = 180° - (32° + 58°) = 90°

Since ΔAOB is a right triangle in which OA = 2 x 30 = 60 km and OB = 2 x 20 = 40 km

Since, AB = √OA2 + OB2

= √(60)2 + (40)2

= √5200

= 20√13