Question

The picture shows a barn door: A barn door has two parallel bars. A support AB of length 6 feet runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 60 degrees.? What is the length of

The picture shows a barn door:

A barn door has two parallel bars. A support AB of length 6 feet runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 60 degrees.

What is the length of the bar AC?

6 sin 60°
6 cos 60°
6 divided by cos 60 degrees
6 divided by tan 60 degrees

Answer 1

It creates a right triangle with the hypotenuse 6 feet and the angle `60^@` [ it is the same as the angle at the top as it is an alternate angle

Use `sin theta= [opp]/[hyp]`

`sin60= [AC]/6=> AC = 6 sin 60^@`