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in order to meet the safety guidelines a roof contractor determines that she must place the base of her letter eight feet away from the house making an angle of 67 degrees with the ground to the nearest tenth of a foot what is the vertical distance from the ground to the top of the ladder? draw a figure and show your work

Answer :

ANSWER:

The vertical distance from the ground to the top of the ladder is 18.85 feet

STEP-BY-STEP EXPLANATION:

The figure would be the following:

You want to calculate the vertical distance BC, we can do this by means of the tangent trigonometric ratio that says the following:

[tex]\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{ adjacent}} \\ \theta=67\text{\degree} \\ \text{opposite = x} \\ \text{adjancet = 8 feet} \end{gathered}[/tex]

Replacing and solving for x:

[tex]\begin{gathered} \tan 67=\frac{x}{8} \\ x=\tan 67\cdot8 \\ x=18.85 \end{gathered}[/tex]

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