Answer:
Second option: False
Step-by-step explanation:
You need to use the following identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
Let be "x" the lenght of the buildings's shadow.
[tex]opposite=x[/tex] (Lenght of building's shadow)
You can observe in the figure that:
[tex]\alpha=75\°\\\\hypotenuse=50ft[/tex]
Substitute these values into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] and solve for ""x":
[tex]sin(75\°)=\frac{x}{50}\\\\(50)(sin(75\°))=x\\\\x=48.29\°[/tex]
Therefore, the length of its shadow IS NOT 12.94 feet.
