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

Question

asked May 17, 2017 6.9k views

2 Answers

Crjunk · Answer 1 · 2017-05-18T02:05:33+0000

Answer:

d. AB = 9 divided by sin 60 degrees.

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) =
$(perpendicular\ side)/(hypotnuse)$ .

Sin (60) =
(CB)/(AB)

Plugging the values of CB = 9

Sin (60 ) =
(9)/(AB) .

On multiplying by AB both sides

AB sin(60) = 9

On dividing by sin(60)

AB =
(9)/(sin(60)) .

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

Malca · Answer 2 · 2017-05-22T18:59:25+0000

Answer:

(D)9 divided by sin 60 degrees

Explanation:

From the given figure, using trigonometry

$(BC)/(AB)=sin60^{{\circ}}$

Substituting the given values, we get

$(9)/(AB)=sin60^{{\circ}}$

$(9)/(sin60^(\circ))=AB$

$AB=\frac{9{*}2}{√(3)}$

AB=(18)/(√(3))

AB=10.4 feet

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