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The picture shows a barn door: A barn door has two parallel bars. A support AB runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 45 degrees. The distance between the two parallel bars is 7 feet. What is the length of the support AB?
A.7 divided by cos 45 degrees
B. 7 tan 45°
C.7 divided by sin 45 degrees
D.7 cos 45°

Respuesta :

Answer: Option C. 7 divided by sin 45 degrees


Solution:

Distance between the two parallels bars: d=7 feet

Length of the support AB: AB=?


sin 45°= d / AB

sin 45°=(7 feet) / AB

Solving for AB:

AB sin 45°=7 feet

Dividing both sides of the equation by sin 45°

AB sin 45° / sin 45° = (7 feet) / sin 45°

AB=(7 feet) / sin 45°

Answer:

Option C. 7 divided by sin 45 degrees

Step-by-step explanation:

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