Find
Note: This length can be expressed as , where are coprime positive integers. Submit the value of as your answer.
Aeroplanes A and B are flying with constant speed in the same vertical plane at angles 30° and 60° with respect to the horizontal, respectively, as shown in the figure.
The airspeed of A is meters per second. Initially, an observer in A sees B directly ahead and at the same altitude at a (horizontal) distance of 500 m.
Assuming they take no evasive action and collide, after how many seconds does this happen?
An ant is lost in a square, and his distances to the vertices of the square are 7, 35, 49, and Find
Note: The image is not drawn to scale.
Quadrilateral has and the acute angles and satisfy and Find
Give your answer to 3 decimal places.
In triangle , . Points and are consecutive points on side such that . If there exists such that and , what is