Question

Please help me!!!!!!!

Answer 1

Answer:

b = 11$\frac{1}{4}$ (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 = $\frac{opposite}{hypotenuse}$

Sin 30 = $\frac{x}{15}$

x = Sin 30 x 15

  = 7.5

x = 7.5

To determine a,

Cos θ = $\frac{adjacent}{hypotenuse}$

Cos 60 = $\frac{a}{7.5}$

a = cos 60 x 7.5

  = 3.75

a = 3.8

b = 15 - 3.75

  = 11.25

b = 11$\frac{1}{4}$