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Use △DEF, shown below, to answer the question that follows:

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answer for Blank 1:

Use DEF shown below to answer the question that follows What is the value of x rounded to the nearest hundredth Type the numeric answer only in the box below An class=

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ANSWER

x=36.08 units

EXPLANATION

From the given right triangle,x is adjacent to the 49° angle.

The hypotenuse of the right triangle is 55 units.

Recall the mnemonics SOH-CAH-TOA

We use the cosine ratio,

[tex] \cos(49 \degree) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(49 \degree) = \frac {x}{55} [/tex]

Solve for x,

[tex]x = 55\cos(49 \degree) [/tex]

x=36.0832

Rounding to the nearest hundredth,we have

x=36.08