From point A on level ground the angle of elevation of the top of a vertical tower is 30°
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
From point A on level ground the angle of elevation of the top of a vertical tower is 30°. After a student walks 150 m straight towards the tower to point B, the angle of elevation of the top becomes 60°. Assume that A, B and the foot of the tower lie on the same straight line.
Answer the following.
(i) If the distance of point B from the foot of the tower is x metres, write an expression for the height of the tower in terms of x using the observation made at B.
(ii) Using the observation made at A, obtain a second equation in x and hence find the value of x.
(iii) Calculate the height of the tower correct to one decimal place.