Answer: D. 1.2 m
Explanation:
According to the description, the boy, the side of the tent and the ground form a right triangle, which means we can solve this problem with a trigonometric function.
If in this right triangle the boy (whose length is [tex]1.1 m[/tex]) and the ground are the sides of the triangle and the fabric that makes a [tex]65 \°[/tex] angle with ground is the hypotenuse, we can use the function sine:
[tex]sin(65 \°)=\frac{opposide-side}{hypotenuse}[/tex]
[tex]sin(65 \°)=\frac{1.1 m}{hypotenuse}[/tex]
Isolating the [tex]hypotenuse[/tex]:
[tex]hypotenuse=\frac{1.1 m}{sin(65 \°)}[/tex]
Finally:
[tex]hypotenuse=1.21 m \approx 1.2 m[/tex] This is the length of the fabric
