Rain is falling vertically with a speed of \(35~\text{ms}^{-1}\). Winds starts blowing after sometime with a speed of \(12~\text{ms}^{-1}\) in east to west direction. At what angle should a boy waiting at a bus stop hold his umbrella?
1. | \(16^{\circ}\) with the vertical |
2. | \(15^{\circ}\) with the vertical |
3. | \(19^{\circ}\) with the vertical |
4. | \(19^{\circ}\) with the horizontal |
A motorboat is racing towards the north at \(25\) km/h and the water current in that region is \(10\) km/h in the direction of \(60^\circ\) east of the south. The resultant velocity of the boat is:
1. | \(12\) km/h at \(23 . 4^\circ\) east of west |
2. | \(22\) km/h at \(23 . 4^\circ\) north of east |
3. | \(22\) km/h at \(23 . 4^\circ\) east of north |
4. | \(20\) km/h at \(23 . 4^\circ\) north of west |
Rain is falling vertically with a speed of \(35\) m/s. A woman rides a bicycle with a speed of \(12\) m/s in the east-to-west direction. What is the direction in which she should hold her umbrella?
1. | in the vertical direction only. |
2. | \(19^\circ\) with vertical towards east. |
3. | \(19^\circ\) with vertical towards the west. |
4. | \(19^\circ\) with vertical towards the south. |