There is a small island in the middle of a 200m wide river and a tall tree stands on the island. Two points P and Q are directly opposite to each other on the banks and points and tree are in line. Suppose the angles of elevation of the top of the tree from P and Q are respectively 30deg and 60deg.
1) Find the height of the tree
2) Which point is farthest from the tree
3) Find the distance from P to the top of the tree
4) If the angle of elevation of the sun above the tower increases, then the length of the shadow of tower i) increase ii) decrease iii) increase or decrease iv) none of these
5) The angles of elevation or depression are always i) acute ii) obtuse iii) right angle iv) none of these
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