Answered

The picture shows a barn door:

What is the length of the support AB?

A9 divided by tan 60 degrees
B9 sin 60°
C9 cos 60°
D9 divided by sin 60 degrees

The picture shows a barn door: What is the length of the support AB? a. 9 divided by tan 60 degrees b. 9 sin 60 c. 9 cos 60 d. 9 divided by sin 60 degrees class=

Verified Answer :

boffeemadrid

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.

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.

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