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Rain is falling vertically and a man...

Rain is falling vertically and a man is moving with velocity 6m/s find the angle with which umbrella should be held by man to avoid getting wet .

Text Solution

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` vecV_("rain") =- 10 hatj`
` vecV_("man") = 6 hatj`
` vecV_("r.w.t main ") =- 10hatj - 6 hatj `
` tan theta = (6)/( 10 )`
` theta = tan^(-1) ""((3)/( 5))`
where ` theta ` is angle with vertical .
` (##AKS_AI_PHY_V01_P1_C03_SLV_041_S01.png" width="80%">
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