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A ladder 7.90 m long leans against the side of a building. If the ladder is inclined at an angle of 66.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building? 10.3 Incorrect: Your answer is incorrect.

Answer :

Answer:3.21 m

Explanation:

Given

Length of ladder [tex]L=7.9\ m[/tex]

inclination of ladder [tex]\theta =66^{\circ}[/tex]

If x is the  horizontal distance between building and ladder then,

Using trigonometric relation

we get

[tex]\cos \theta =\frac{x}{L}[/tex]

[tex]x=L\cos \theta [/tex]

[tex]x=7.9\times \cos (66)[/tex]

[tex]x=3.21\ m[/tex]

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