Question

each corner of a square subtends an angle of 30 degree at the top of a tower 'h' metres high standing in the centre of the square. If a is the length of the each side of the square then the relation between 'h' and 'a' is?

Answer 1

Each corner of a square subtends an angle of 30 degree at the top of a tower.

This makes a pyramid with the height h.

In a right triangle:

(2 h)² - h² = ( a √2 / 2)²

4 h² - h2 = a² / 2

3 h² = a²/ 2

h² = a² / 6

h = a /√6 or: h = a √6 / 6