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Looking from the top of a 20 m high building, the angle of elevation of the top of a tower is 60^(@) and the angle of depression of its bottom is 30^(@) . What is the height of the tower?

A square PQRS has a side of 2m. Charges of +20 C, -20 C and +20 C are placed at vertices P,R and S respectively. What will be the net force experienced by a 1 C charge placed at point Q ?

A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .

The top of a table measures 2m and 25 cm by 1 m 20 cm. find its area in square metres.

The angle of elevation of the top of a tower from the foot of a house, situated at a distance of 20 m from the tower is 60^(@) . From the top of the top of the house the angle of elevation of the top of the tower os 45^(@) . Find the height of house and tower.

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

A Roller coaster is desigend such that riders experience "Weightlessness " as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between