In the figure, ^@\angle ABC = \angle DAC = 90^\circ^@, ^@BC = 7 \space cm^@, ^@AD = 5 \space cm^@ and ^@AB = 3 \space cm^@. What is the measure of ^@AC + CD^@?
A man sitting at a height of ^@ 8 \space m ^@ on a tall tree on a small island in the middle of a river observers two poles directly opposite each other on the two banks of the river and in line with the foot of the tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the tree on either side of the river are ^@ 45^\circ ^@ and ^@ 60^\circ ^@ respectively. What is the width of the river?
In the given figure, the radii of two concentric circles are ^@ 10 \space cm ^@ and ^@ 5 \space cm ^@. ^@ AB ^@ is the diameter of the bigger circle and ^@ BD ^@ is a tangent to the smaller circle touching it at ^@ D ^@. What is the length of ^@ AD ^@ ?
The given figure is a sector of a circle of radius ^@ 5.6 \space cm ^@. Find the perimeter of the sector. ^@\bigg(^@Take ^@ \pi = \dfrac { 22 }{ 7 }\bigg)^@
Isaac made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 113 cm and its radius is 57 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)
A box contains 6 orange and 6 blue balls. Joshua takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were orange?
Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in at least two subjects.