Hello!
The answer is:
The correct option is:
D. 40 feet.
Why?
To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
[tex]Tan\alpha =\frac{Opposite}{Adjacent}[/tex]
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
[tex]Tan(34\°) =\frac{Width}{60ft}[/tex]
[tex]Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft[/tex]
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!
