In a seminar, the number of participants in German, English and French are 264, 121 and 154 respectively. Find the numbers of rooms required to house them if in each room, the same number of participants are to be accommodated and all of them must belong to the same language.
A lamp is ^@ 19.8 \space m ^@ above the ground. A boy ^@ 66 \space cm ^@ tall walks away from the base of this post at a speed of ^@ 1.5 \space m/s^@. Find the length of the shadow of the boy after ^@ 9 \space seconds ^@.
In the given figure, tangents ^@ PQ ^@ and ^@ PR ^@ are drawn from an external point ^@ P ^@ to a circle with center ^@ O ^@, such that ^@ \angle RPQ = 45^\circ ^@. A chord ^@ RS ^@ is drawn parallel to the tangent ^@ PQ ^@. What is the measure of ^@ \angle RQS ^@ ?
A hall is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 meters. The height of cylinder and cone are 8 meters and 3 meters respectively. Find the outer surface area of the hall. (Assume π =
The angle of elevation of the top of a vertical tower from a point on the ground is ^@ 45^\circ ^@. From another point, ^@ 7 \space m ^@ vertically above the first, its angle of elevation is ^@ 30^\circ ^@. What is the height of the tower?