A television transmission tower is erected on the roof of a multistorey building
MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry
Problem
A television transmission tower is erected on the roof of a multistorey building. A surveyor takes two observations along the same straight line on level ground. From point A, the angles of elevation of the top of the building and of the top of the tower are 30° and 45° respectively. The surveyor then walks 30 m toward the building to point B; from there the corresponding angles of elevation become 45° and 60°.
Using these observations, answer the following:
(a) Determine the height of the building.
(b) Find the height of the tower alone (above the roof of the building).