An observer on level ground sights the top of a tower at an angle of elevation of 30°
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
An observer on level ground sights the top of a tower at an angle of elevation of 30°. After walking 80 m towards the tower in a straight line, the observer finds that the angle of elevation has become 45°. Let the observer now walk a further 30 m towards the tower to reach point R.
(i) Determine the height of the tower.
(ii) Calculate the angle of elevation of the top of the tower from point R, correct to one decimal place.