The height of the tower from the given parameters is; 20√3 m
Trigonometric Ratios
I have attached a drawing showing the triangle formed by the tower and the shadow.
We can use trigonometric ratios on Triangle ABC of the attached image to get; AB = BC * tan 60°
AB = BC√3
Where AB is the height of tower
For Triangle ABD, using trigonometric ratios again, we will have;
tan 30° = AB/(BC + 40)
1/√3 = (BC√3)/(BC + 40)
Cross multiply to get;
BC + 40 = 3BC
3BC - BC = 40
2BC = 40
BC = 40/2
BC = 20 m
Thus;
Height of tower; AB = 20√3 m
Read more about trigonometric ratios at; https://brainly.com/question/11967894
