the height of a light house is 85 m. an observer on it found the angle pf depression to a boat to be 30°, which was sailing towards the light houes.after 2 minutes,the angle of depression for the same boat was 60°. what was the speed of the boat in km /hr ?(√3=1.7)
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Speed of Boat is 3km/hour.
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18\5 kaise aya jaldi bolo
m/sec ko km/hr mein change karne ke liye 18/5 se guna kiya jata hai.
Answered by
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The speed of the boat is 3 Km/hr.
Step-by-step explanation:
In the figure, tan(30) = AB=1=AB
- BD √3 BD
BD = √3 AD
Also tan(60) = AB / BC = √3 = AB / BC
- BC= 1/√3 AB
CD = BD = BC= AB( 3 − 1 /√3) = 2AB / √3
= 2 /√3 x 85 = 170 / √3
Speed = Distance / Time = 170 / √3 x 60 2 x 10
= 3 Km/hr
Thus the speed of the boat is 3 Km/hr.
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