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AB = 9 m DC = h, BC = x In ∆BCD tan 45 ° = DC/BC = h/x 1 = h/x x = h In ∆ACD tan 30° = DC/AC = DC/(AB + BC) 1/ √3 = h/(9 + x) 1/ √3 = h/(9 + h) 9 + h = √3 h √3 h - h = 9 h ( √3 - 1 ) = 9 h = 9/( √3 - 1)x ( √3 + 1)/ ( √3 + 1) = 9( √3 + 1)/2
A can complete a task in 20 days, and B can complete the same task in 25 days. If A works for 6 days and then leaves, in how many days will B complete t...
Two individuals, 'A' and 'B', are running around a circular track with a total length of 2000 meters. 'A' runs clockwise at a speed of 5 m/s, while 'B' ...
When the Ratio of speeds of Aman and vinod is given as 9 : 7 respectively. If Aman gives vinod a start of 60 metres then how far must be the winning Lin...
A train passes two people who are walking in the opposite direction of the train at the rates of 4 m/s and 10 m/sec in 12 seconds and 10 seconds respect...
'A' starts a journey and covers the first half of the total distance at a speed of 15 km/hr. Then, he travels half of the remaining distance at 5 km/hr ...
A man covered a distance of 240 km in 4 hours on a bike. How much distance will he cover on a bicycle in 8 hours if he rides the bicycle at one-tenth th...
The distance between Rahul's house and the gym is 60 km. When travelling at ___ km/h, Rahul reaches the gym at his usual time. However, when he reduces ...
Average speed of ‘A’ during a 40-hour journey is 36 km/h. If he covered the first 160 km of his journey at a speed of 20 km/h, then find the speed a...
Peter, John and Mike run around a Circular track starting from the same point simultaneously and in the same direction at the speed of 36 kmph, 54 kmph ...
A truck travels a distance of 240 km in 8 hours. The speed of a van is 25% more than that of the truck, and the speed of a scooter is 20% more than that...
