For this case we have to define trigonometric relationships in rectangular triangles that:
The sine of an angle is given by the opposite leg to that angle on the hypotenuse of the triangle.
Then, according to the figure shown we have to:
[tex]Sin (47) = \frac {x} {18}[/tex]
So, clearing the value of "x" we have:
[tex]x = Sin (47) * 18\\x = 0.7314 * 18\\x = 13.16[/tex]
We round and we have the value of "x" is: [tex]13.2 \ ft[/tex]
Answer:
[tex]13.2 \ ft[/tex]
