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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?


Sagot :

[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?

[tex]\\[/tex]

[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]

  • The height of the wall is approximately 7.07 feet

[tex]\\[/tex]

[tex]\\[/tex]

[tex]\tiny{\blue{\bold{Hikari\:Squad}}}[/tex]