Question

A boy rides a bike with a velocity of 6 m/s on a rainy day. The rain falls down with a velocity of 8 m/s. Which direction should the boy hold the umbrella to protect himself from the rain? Hint, set up a right triangle and find the angle using tangent formula below you will have to use second tangent on your calculator and make sure your calculator is in degrees A• 53.13° away from the horizontal position

B• 8° from the horizontal position
C• 36.87° away from the horizontal position
D• 48.59° away from the horizontal position

Answer 1

(A)

53.13° away from the horizontal position

Step-by-step 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

/

/ ↓

/ ↓

/ ↓ 8m/s

/ x ↓

/ ↓

→ → → → → → → → →

6m/s

tanФ = opp / adj

tanФ = 8 / 6

tanФ = 4 / 3

tanФ = tan^-1(4 / 3)

tanФ = 53.13° from horizontal