EXPLANATION
Let's see the facts:
Adjacent leg= 100 feet
Angle= 57 degrees
The closest to the length is given by the Pythagorean Theorem as shown as follows:
[tex]\cos \text{ }\alpha=\frac{\text{adjacent cathetus}}{\text{Hypotenuse}}[/tex]
Replacing terms:
[tex]\cos 57=\frac{100}{x}[/tex]
Isolating x:
[tex]x=\frac{100}{\cos 57}=183.6[/tex]
So, the answer is 183.6 feet OPTION B
