Question

a ship leaves a port P and travels 30 km due north then it changes course and travels 20 km in a direction 30 degree east of north to reach port R.calculate the distance from P to R​

Answer 1

Answer:

48.36 km

Explanation:

a ship leaves a port P and travels 30 km due north then it changes course and travels 20 km in a direction 30 degree east of north to reach port R.calculate the distance from P to R​

Ship travels = 30 km N

Then Ship travels 20 km in a direction 30 degree east of north

=> North = 20Cos30 = 10√3 = 17.32 km

  East = 20 Sin30 = 10 km

Total North from P = 30 + 17.32 = 47.32 km

Total East from P = 10 km

Distance between P & R = √(47.32)² + 10²  = 48.36 km