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[tex] \large\underline \mathcal{{QUESTION:}}[/tex]
1. Carrie places a 10 foot ladder against a wall. If the ladder makes an angle of 45° with the
level ground, what is the height of the wall from the ground to the top of the ladder?
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[tex] \large\underline \mathcal{{SOLUTION:}}[/tex]
Using Trigonometry: SOH
[tex]\\[/tex]
[tex] \sf{Sine = \frac{Opposite}{Hypothenus}}[/tex]
[tex] \sf{Sine(45°) = \frac{x}{10ft}}[/tex]
[tex]\sf{\frac{\sqrt{2}}{2}=\frac{x}{10ft}}[/tex]
[tex]\sf{\frac{10\sqrt{2}}{2}=x}[/tex]
[tex]\sf{5\sqrt{2}=x}[/tex]
[tex]\sf{x=7.07106781187ft}[/tex]
[tex]\sf{x\approx7.07ft}[/tex]
[tex]\\[/tex]
[tex] \large\underline \mathcal{{ANSWER:}}[/tex]
[tex]\\[/tex]
[tex]\\[/tex]
[tex]\tiny{\blue{\bold{Hikari\:Squad}}}[/tex]