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Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Use Trigonometry To Find The Missing Side Round Your Answer To The Nearest Tenth One Decimal Place class=

Sagot :

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.

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