Question

(a)
A girl is walking in the rain at a speed of
1.2 ms along a straight rond. The rain falls
on her vertically at a speed of 1.4 ms. At
what angle to the vertical does the person
hold the umbrella so that she does not get
wet?​

Answer 1

Dear student,

◆ Answer -

θ = 49.41°

● Explanation -

# Given -

vm = 1.2 m/s

vr = 1.4 m/s

# Solution -

Let θ be the angle a girl is supposed to hold umbrella at. It is calculated by -

tanθ = vr/vm

tanθ = 1.4/1.2

tanθ = 1.167

θ = arctan(1.167)

θ = 49.41°

Therefore, the girl should hold umbrella at 49.41° with horizontal to avoid rain.

Thanks ...