Question

The picture shows a barn door:

Answer 1

Answer:

d. AB =  9 divided by sin 60 degrees.

Step-by-step explanation:

Given : picture shown a barn door.

To find  : What is the length of the support AB.

Solution : We have given that CB = 9 feet .

angle = 60°,

We need to find AB ?( hypotenuses)

By the trigonometric ratio = sin( theta) = $\frac{perpendicular\ side}{hypotnuse}$.

Sin (60) = $\frac{CB}{AB}$

Plugging the values of CB = 9

Sin (60 ) = $\frac{9}{AB}$.

On multiplying by AB both sides

AB sin(60) = 9

On dividing by sin(60)

AB = $\frac{9}{sin(60)}$.

Therefore, d. AB =  9 divided by sin 60 degrees.

Answer 2

Answer:

(D)9 divided by sin 60 degrees

Step-by-step explanation:

From the given figure, using trigonometry

$\frac{BC}{AB}=sin60^{{\circ}}$

Substituting the given values, we get

$\frac{9}{AB}=sin60^{{\circ}}$

$\frac{9}{sin60^{\circ}}=AB$

$AB=\frac{9{\times}2}{\sqrt{3}}$

$AB=\frac{18}{\sqrt{3}}$

$AB=10.4 feet$

Thus, The length of the support AB is 9 divided by sin 60 degrees.