Please help me!!!!!!!

Answer:

b = 11[tex]\frac{1}{4}[/tex] (or 11.25)

Step-by-step explanation:

From the diagram,

b = 15 - a

Since the triangles in the figure are all right angled, apply the appropriate trigonometric function to first determine x. We have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin 30 = [tex]\frac{x}{15}[/tex]

x = Sin 30 x 15

  = 7.5

x = 7.5

To determine a,

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos 60 = [tex]\frac{a}{7.5}[/tex]

a = cos 60 x 7.5

  = 3.75

a = 3.8

b = 15 - 3.75

  = 11.25

b = 11[tex]\frac{1}{4}[/tex]

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