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A 20-foot support post leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far is the base of the post from the wall?

A 20foot support post leans against a wall making a 70 angle with the ground To the nearest tenth of a foot how far is the base of the post from the wall class=

Respuesta :

The following problem can be well explained by the diagram shown below:

Hence by the trigonometry of the figure use the trigonometric ratio of cos to get:

[tex]\begin{gathered} \cos 70=\frac{BC}{AC}=\frac{x}{20} \\ x=20\cos 70 \\ x=6.8404\approx6.8 \end{gathered}[/tex]

Hence the support is 6.8 feet away from the wall.

Option A is correct.

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