From a point P on level ground the angle of elevation of the top T of a tower is
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
From a point P on level ground the angle of elevation of the top T of a tower is 45∘. After moving 30m closer to the tower to point Q, the angle of elevation becomes 60∘.
(i) Draw a labelled diagram representing the situation.
(ii) Form two equations involving the height of the tower and the initial horizontal distance of point P from the foot of the tower.
(iii) Solve the equations to determine the height of the tower.