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`        Find the direction in which plane should be headed to reach B`
11 months ago

Arun
22559 Points
```							Dear Abhishek Wind travels at a Speed =u=20m/sAeroplane travels at a Speed  =v=150m/sTo reach the point B, The pilot should travel along AB.Let us assume that θ be the angle at which the plane heads towards east of line AB.so angle between two velocities is θ+30°tanθ°=usin(θ+30)/(v+ucos(θ+30))sinθ°/cosθ°=usin(θ+30)/(v+ucos(θ+30))By cross multiplying we getsinθ°(v+ucos(θ+30))=cosθusin(θ+30)sinθ° [v+ucosθcos30° - usinθsin30)]=ucosθ°sinθ°cos30°+ucosθ°cosθ°sin30Since Cos(A+B)=cosAcosB-SinASinB]Sin(A+B)=sinACosB+cosAsin BVsinθ°+ucosθ°sinθ°√3/2-usin²θ1/2=ucosθ°sinθ°√3/2+ucos²θ°1/2on solving the above equation,we getvsinθ°-u/2sin²θ=u/2cos²θVsinθ°=(u/2)[cos²θ+sin²θ]V sinθ°=u/2 [ ∵cos²θ+sin²θ=1]sinθ=u/2v=20/2x150=20/300=1/15θ=sin⁻¹[1/15]=sin⁻¹[0.066]∴ in order to reach point B, the plane should move with an angle of sin⁻¹[1/15]  east of line AB.
```
11 months ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions