ANSWER
The length of the shadow is 49 ft to nearest feet.
EXPLANATION
We can find the length of the shadow using the tangent ratio.
Recall that,
[tex] \tan(27 \degree) = \frac{opposite}{adjacent} [/tex]
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle
[tex] \tan(27 \degree) = \frac{45}{adjacent} [/tex]
This implies that,
[tex]adjacent = \frac{45}{tan27 \degree} [/tex]
[tex]adjacent = 49 .065[/tex]
