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Explanation:
Height of the jet plane = 1500√3 m
Initially the jet plane is at A and after 15 seconds flight at B
ED = x , EC = y , where D is right below A and C is right below B .
( The position of the plane after 15 sec )
From ∆EBC, Cot 30° = y / 1500√3
= y/ 1500√3 = √3
= y = 1500√3 × √3 = 4500m
From ∆ EDA , Cot 60° = x / 1500√3
x / 1500√3 = 1 / √3
= x = 1500m
AB = DC = Distance travelled in 15 sec
= y - x = ( 4500- 1500) m
= 3000m
Distance travelled in 1 sec
= 3000/ 15 m
= 200m
Hence the speed of the jet plane = 200
m/ sec = 200/ 1000 × 60 × 60 km/hr
= 720km/ hr
Hope it helps you
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