Question

a sign 4m long is to be mounted at an angle of 45 degrees to a building how long will the bracket need to be that supports the edge of the sign?

Answer 1

bracket ≈ 2.8 m

Explanation:

using the sine or cosine ratio in the right triangle

sin45° =
`(opposite)/(hypotenuse)` =
`(bracket)/(sign)` =
`(bracket)/(4)` ( multiply both sides by 4 )

4 × sin45° = bracket , then

bracket ≈ 2.8 m ( to 1 dec. place )