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PLEASE ANSWER WILL GIVE BRAINLIEST!!!

Find the length of side x to the nearest tenth.

PLEASE ANSWER WILL GIVE BRAINLIEST Find The Length Of Side X To The Nearest Tenth class=

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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Let's use Trigonometric relations to find the value of hypotenuse (x), in the given right angled Triangle.

[tex] \qquad \sf  \dashrightarrow \: \cos(45) = \dfrac{11}{{x}^{} } [/tex]

[tex] \qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{11}{x} [/tex]

[tex] \qquad \sf  \dashrightarrow \: x = 11 \times \sqrt{2} [/tex]

[tex] \qquad \sf  \dashrightarrow \:x = 11 \sqrt{2 \:} \: units[/tex]

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