MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
From point P on the bank of a wide river, the angle of elevation of the top of a transmission mast on the opposite bank is 25°. From point Q, which lies 200 m closer to the mast along the same straight line as P, the angle of elevation is 35°. Assuming the foot of the mast, P, and Q are collinear and on the same horizontal level,
(i) calculate the height of the mast, correct to the nearest metre.
(ii) find the horizontal distance of point Q from the foot of the mast.
(iii) determine, correct to the nearest degree, the angle of depression of point Q as observed from the top of the mast.