Answer:
The height of the ladder is 6.9 meter
Explanation:
Given:
- hypotenuse: height of ladder
As opposite and hypotenuse given, use sine rule:
[tex]\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\rightarrow \sf sin(60) = \dfrac{6}{h}[/tex]
[tex]\rightarrow \sf h = \dfrac{6}{sin(60)} = 4\sqrt{3} = 6.928 \ meters \quad \approx \ 6.9 \ meters \ \ (one \ decimal \ place)[/tex]
