The angle of elevation of the top of a tower from a point A due south of the tower is α and from B due east of th tower is β. If AB = d, show that the height of the tower is d√cot2α+cot2β [3 MARKS]

The angle of elevation of the top of a tower from a point A due south

1.	The angle of elevation of the top of a tower from a point A due south of the tower is α and from B due east of th tower is β. If AB = d, show that the height of the tower is d√cot2α+cot2β [3 MARKS]
Answer» The angle of elevation of the top of a tower from a point A due south of the tower is $α$ and from B due east of th tower is $β$ . If AB = d, show that the height of the tower is $\frac{d}{\sqrt{c o t^{2} α + c o t^{2} β}}$ [3 MARKS]