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lapo4ka [179]
3 years ago
5

Please help! Will mark big brain!

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

The height of the ladder is 6.9 meter

Explanation:

Given:

  • angle: 60°
  • opposite: 6 meter
  • hypotenuse: height of ladder

As <u>opposite</u> and <u>hypotenuse</u> given, use sine rule:

\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}

\rightarrow \sf sin(60) = \dfrac{6}{h}

\rightarrow \sf h = \dfrac{6}{sin(60)} = 4\sqrt{3}  = 6.928 \ meters \quad \approx  \ 6.9 \ meters \ \  (one \ decimal \ place)

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