Question

Find the length of BC. Round your answer to the nearest whole number.

Answer 1

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Explanation:

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Answer 2

BC = 5 cm (nearest whole number)

Explanation:

Use the sine trig ratio:

`\mathsf{\sin \theta=(opposite\ side)/(hypotenuse)}`

Given:

• 
  `\theta` = 22.6°
• side opposite the angle = a
• hypotenuse = 13

Substituting these values into the sine ratio formula:

`\implies \mathsf{\sin (22.6)=(a)/(13)}`

`\implies \mathsf{a=13\sin (22.6)}`

`\implies \mathsf{a=4.995839195...}`

Therefore, BC = 5 cm (nearest whole number)