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BartSMP [9]
3 years ago
9

Please help me!!!!!!!

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

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}

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