Respuesta :

Answer:

AC ≈ 50.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )

x × tan29° = 28 ( divide both sides by tan29° )

x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )

Answer:

50.5

Step-by-step explanation:

In the right triangle, focus on angle A.  The side marked 28 is the opposite side, and the side marked  x  is the adjacent side.  The trigonometric ratio that uses those two side is the tangent ratio.

tangent = (opposite) / (adjacent)

[tex]\tan{29^\circ}=\frac{28}{x}[/tex]

Multiply both sides by  x.

[tex]x\cdot \tan{29^\circ}=28[/tex]

Divide by tan 29 degrees.

[tex]x=\frac{28}{\tan{29^\circ}}[/tex]

Use a calculator (in degree mode!) to approximate  x.

[tex]x \approx 50.5[/tex]

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