Alyssafaye15
contestada

The picture shows a barn door:
What is the length of the support AB?

A. 7 over cos 45 degrees
B. 7 tan 45 degrees
C. 7 over sin 45 degrees
D. 7 cos 45 degree

The picture shows a barn door What is the length of the support AB A 7 over cos 45 degrees B 7 tan 45 degrees C 7 over sin 45 degrees D 7 cos 45 degree class=

Respuesta :

C

Opposite / hypotenuse
Sin 45 degrees= 7/x
JeanaShupp

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 [tex]45^{\circ}[/tex] is 7 feet.

By using trigonometry in the given figure we can say that

[tex]\sin45^{\circ}=\frac{\text{side opposite to }45^{\circ}}{\text{hypotenuse}}\\\\\Rightarrow\sin45^{\circ}=\frac{7}{AB}\\\\\Rightarrow AB=\frac{7}{\sin45^{\circ}}[/tex]

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