ABCD is a parallelogram and E is the midpoint of side BC. When DE and AB are extended, they meet at point F. If AB = 11 cm and AD = 5 cm, find the measure of AF.

The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 1 minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are ^@a, b,^@ and ^@c,^@ find the area of the triangle.

How many meters of cloth, ^@ 6 \space m ^@ width, will be required to make a conical tent, the radius of whose base is ^@ 12 \space m ^@ and height is ^@ 25 \space m? ^@

There are 3 books belonging to 3 students. The books were put into a box, and each student pulls out a book one after the other. What is the probability that each student gets his or her own book?

ABCD is a square. Two arcs are drawn with A and B as centers, and radius equal to the side of square. If arcs intersects at point E, find the angle ∠ACE.

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