Answer the following questions related to the use of angles in observing heights.
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
Answer the following questions related to the use of angles in observing heights.
(i) Define (a) angle of elevation and (b) angle of depression.
(ii) An observer stands on level ground 30 m away from a vertical tower. Identify which side of the right-angled triangle corresponds to (a) the 30 m distance, (b) the height of the tower, and (c) the observer’s line of sight to the top of the tower.
(iii) If the angle of elevation of the top of the tower is known while the horizontal distance is measured, name the trigonometric ratio that directly relates these two quantities and explain why it is appropriate.