Answer:
The height of the river dam is 83.9 m
Step-by-step 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.
[tex]Tan\theta = \frac{Perpendicular}{Base}[/tex]
[tex]Tan40^{\circ} = \frac{AB}{BC}[/tex]
[tex]0.839 = \frac{AB}{100}[/tex]
[tex]0.839*100 = AB[/tex]
[tex]83.9= AB[/tex]
Hence the height of the river dam is 83.9 m
