The length of the shadow of a vertical tower increases by 9 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then find the height of the tower?
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
Six friends F, G, H, I, J and K have different heights. G is taller than only K. F and H are taller than K but shorter than I, who is not the tallest. W...
How many chocolates does Sanjay possibly have?
There are six persons D, E, F, G, H and I of different heights. D is taller than at least two persons. I is taller than G, who is taller than D. E is t...
Six students L, M, N, O, P, and Q scored different marks in an exam. O scored more than Q and L. Three students scored more than P, who scored just mor...
There are six persons P, Q, R, S, T and U have different weights. U is heavier than P, who is heavier than T and Q. S is heavier than Q. R is heavier t...
There are five persons D, E, F, G and H of different age. F is older than only three persons. D is older than E but younger than F. H is older than G. G...
Srikant is shorter than Raju. Anuj is taller than Srikant. Vipin is taller than Raju but shorter than Rakesh. Raju is taller than Anuj who will be in th...
E, F, G, H and I are five sisters. G is younger than only two sisters. F is older than E but younger than G. I is not the oldest. Who is the oldest?
Seven persons, J, K, L, M, N, O and P are of different weights. Only N is lighter than L. M is heavier than J. O is heavier than K. M is not heavier tha...
J, K, L, M, N, and O are six painters. O is a better painter than M. L cannot paint better than M. K is a better painter than N. M is a better painter t...
