Answer
(A)
53.13° away from the horizontal position
Explanation
Let's suppose boy rides a bike with a velocity of 6m/s in east
→
6m/s
Let's suppose rain falls down with a velocity of 8m/s in north
↓
8m/s
Direction should the boy hold the umbrella to protect himself from the rain
Right angled triangle
/
/ ↓
/ ↓
/ ↓ 8m/s
/ x ↓
/ ↓
→ → → → → → → → →
6m/s
Formula to use:
tanФ = opp / adj
tanФ = 8 / 6
tanФ = 4 / 3
tanФ = tan^-1(4 / 3)
tanФ = 53.13° from horizontal
