GMAT (Graduate Management Admission Test) Question:
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The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?

Answer:

1. 30
2. 51.96
3. 47.32
4. 81.96

Ans : C

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a and b are the lengths of the base and height of a right angled triangle whose hypotenuse is h. If the values of a and b are positive integers, which of the following cannot be a value of the square of the hypotenuse?What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?