A building is surmounted by a vertical flag-pole of height 7 m
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
A building is surmounted by a vertical flag-pole of height 7 m. From a point P on level ground the angles of elevation of the top of the pole and of the roof of the building are 45° and 30° respectively. The point P, the foot of the building and the vertical line through the flag-pole lie in the same straight line.
Solve the following.
(i) If the distance of point P from the foot of the building is d metres and the height of the building is h metres, frame two equations in d and h based on the two observations.
(ii) Hence find the height h of the building correct to two decimal places.
(iii) Determine the distance d from point P to the foot of the building correct to two decimal places.