The length of AC is 9 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where Perpendicular = 6m (Picture Attached)
The trigonometric ratios can be used to find the required length.
When an angle is under consideration the side opposite to angle is perpendicular.
So,
[tex]sin\ A = \frac{P}{H}[/tex]
[tex]\frac{2}{3} = \frac{BC}{AC}\\\frac{2}{3} = \frac{6}{AC}\\AC = 6 * \frac{3}{2}\\AC = 3*3\\AC = 9m[/tex]
Hence,
The length of AC is 9 meters
Keywords: Triangle, right angles
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