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a ladder, leaning against the wall, makes an angle of 45°, how long is the ladder if it's foot is 4.5 meters from the wall?​

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[tex] \large\underline \mathcal{{QUESTION:}}[/tex]

a ladder, leaning against the wall, makes an angle of 45°, how long is the ladder if it's foot is 4.5 meters from the wall?

[tex]\\[/tex]

[tex] \large\underline \mathcal{{SOLUTION:}}[/tex]

[tex]\sf{Cos(\theta°)=\frac{Adjacent}{Hypothenus}}[/tex]

[tex]\sf{Cos(45°)=\frac{4.5m}{H}}[/tex]

[tex]\sf{H=\frac{4.5m}{Cos(45°)}}[/tex]

[tex]\sf{H=\frac{4.5m}{0.70710678119}}[/tex]

[tex]\sf{H\approx6.36m}[/tex]

[tex]\\[/tex]

[tex] \large\underline \mathcal{{ANSWER:}}[/tex]

  • The length of the ladder is approximately 6.36 meters

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