Question

The side of a tent makes an angle of 65° to the ground. If a boy who is 1.1 m tall stands inside the tent with his head touching the tent's peak, how long is the fabric that makes up the side of the tent? A. 0.6 m B. 0.9 m C. 1.1 m D. 1.2 m

Answer 1

I took the test and got D) 1.2 Correct

Answer 2

Answer: D. 1.2 m

Step-by-step 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
`1.1 m`) and the ground are the sides of the triangle and the fabric that makes a
`65 \°` angle with ground is the hypotenuse, we can use the function sine:

`sin(65 \°)=(opposide-side)/(hypotenuse)`

`sin(65 \°)=(1.1 m)/(hypotenuse)`

Isolating the
`hypotenuse`:

`hypotenuse=(1.1 m)/(sin(65 \°))`

Finally:

`hypotenuse=1.21 m \approx 1.2 m` This is the length of the fabric