Answer: 43.85 feet.
Step-by-step explanation:
1. You can draw a rigth triangle, as you can see in the figure attached. Where [tex]x[/tex] is the distance traveled from the ground to the loft.
2. Then, to solve this problem you should follow the proccedure shown below:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Where:
[tex]\alpha=52[/tex]°
[tex]adjacent=27[/tex]
[tex]hypotenuse=x[/tex]
3. Substitute the values. Therefore, the result is:
[tex]cos(52)=\frac{27}{x}\\x=\frac{27}{cos(52)}\\x=43.85ft[/tex]
