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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-example-1
User JimZer
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2 Answers

4 votes
C

Opposite / hypotenuse
Sin 45 degrees= 7/x
User Opeyemi
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6 votes

Answer: C. 7 over sin 45 degrees

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)=(7)/(AB)\\\\\Rightarrow AB=(7)/(\sin45^(\circ))

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

User Eladerezador
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