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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?

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 class=

Respuesta :

Answer:

bracket ≈ 2.8 m

Step-by-step explanation:

using the sine or cosine ratio in the right triangle

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{bracket}{sign}[/tex] = [tex]\frac{bracket}{4}[/tex] ( multiply both sides by 4 )

4 × sin45° = bracket , then

bracket ≈ 2.8 m ( to 1 dec. place )

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