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Motion In A Plane

Question
CBSEENPH11018589

A body is projected with a velocity 30 m/sec at angle 30°. After what time will it be at maximum height?

Solution
We know,
A projectile is at maximum height at time equal to half of the time of flight.
That is, 
                space space straight t equals fraction numerator straight u space s i n space straight theta over denominator straight g end fraction
Here, we have
Initial space velcoity comma space straight u space equals space 30 space straight m divided by straight s

Angle space of space projection comma space straight theta space equals space 30 degree
Time when the projectile is at maximum height is, 
∴           straight t equals fraction numerator 30 cross times s i n space 30 degree over denominator 9.8 end fraction equals 1.53 straight s