A surveyor stands at point P on level ground and measures the angle of elevation of…
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
A surveyor stands at point P on level ground and measures the angle of elevation of the top of a vertical lamp-post to be 30∘. He then walks 40 m straight towards the lamp-post along the same line to point Q and finds that the angle of elevation is now 45∘.
(i) Find the height of the lamp-post.
(ii) Calculate the distance of point P from the foot of the lamp-post.