Question

During a rainstorm, raindrops are observed to be striking the ground at an angle theta with the vertical. A
wind is blowing horizontaly at the speed of 5.0 m/s. The speed of raindrops is-
(1) 5 sin theta
(2) 5 / sin theta
(3) 5 cos theta
(4) 5 / cos theta ​

Answer 1

Answer:

5 cos theta

As the rain creates a triangle with an angle that is hypotenhs / altitude

Answer 2

Solution :-

from image we given that,

• ∠BAC = θ
• Speed of wind blowing horizontally = BC = 5.0 m/s .
• ∠ABC = 90°

so, in right angled ∆ ABC we have,

→ sin θ = BC / AC

→ sin θ = 5 / AC

→ AC = (5/sin θ)

Hence, The speed of raindrops is (5/sin θ) .

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