A ladder ^@ 52 \space m^@ long reaches a window which is ^@20 \space m^@ above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window ^@48 \space m^@ high. Find the width of the street.
In the given figure, ^@ XP ^@ and ^@ XQ ^@ are the two tangents to a circle with center ^@ O ^@ drawn from an external point ^@ X ^@. ^@ AB ^@ is another tangent touching the circle at ^@ R ^@, then ^@ XA + AR ^@ is equal to:
A chord of a circle of radius ^@ 70 \space cm ^@ subtends a right angle at the center. Find the area of the corresponding major segment.^@ \bigg[\pi = \dfrac { 22 } { 7 }\bigg] ^@
A camp is made in the form of a conic frustum, surmounted by a cone. The diameters of the base and top of the frustum are ^@ 16 \space m^@ and ^@ 3 \space m ^@ and its height ^@ 10 \space m ^@. The height of the camp is ^@ 15 \space m ^@. Find the quantity of canvas required to make the camp.
Jade goes for a vacation with R1760 for her expenses. If she extends her vacation by 4 days, she has to cut down her daily expenses by R4. Find original duration of her vacation.