Question

The picture shows a barn door:

Answer 1

C

Opposite / hypotenuse
Sin 45 degrees= 7/x

Answer 2

Answer: C. 7 over sin 45 degrees

Step-by-step explanation:

In the given picture, a right triangle is given where the hypotenuse side is AB.

and the side opposite to $45^{\circ}$ is 7 feet.

By using trigonometry in the given figure we can say that

$\sin45^{\circ}=\frac{\text{side opposite to }45^{\circ}}{\text{hypotenuse}}\\\\\Rightarrow\sin45^{\circ}=\frac{7}{AB}\\\\\Rightarrow AB=\frac{7}{\sin45^{\circ}}$

Hence, the length of the support AB =7 over sin 45 degrees