The angle of elevation of the top of a tower from a point A due south of it is 30°, and from a point B due west of A is 18°. If AB = a, what is the height of the tower?
Q1. The angle of elevation of the top of a tower from a point A due south of it is 30°, and from a point B due west of A is 18°. If AB = a, what is the height of the tower?
Answer: a / √(cot² 30° + cot² 18°)
Explanation: Using the tangent function and the Pythagorean theorem, we can derive the formula for the height of the tower in terms of 'a', cot 30°, and cot 18°.