Answer:
The height of the river dam is 83.9 m
Explanation:
Given : AB is the height of the river dam 
 ∠ACB=40°
 BC = 100 m
To Find: The height of river dam i.e. AB 
Solution:
Refer the attached file.
Perpendicular = AB 
Base = BC = 100
To find the height of the river dam we will use trigonometric ratio.





Hence the height of the river dam is 83.9 m