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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.

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 belo class=

Verified Answer :

amy16084

you have to use trig so x equal to 55 x cos(49=36.08

boffeemadrid

Answer:

\(x=36.08\)

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=90°, DF=55 and DE=x.

To find: The value of x.

Solution:

From the given triangle DEF, applying the trigonometry, we have

\(\frac{x}{55}=cos49^{\circ}\)

⇒\(x=55(cos49^{\circ})\)

⇒\(x=55(0.656)\)

⇒\(x=36.08\)

Therefore, the value of x will be 36.08.

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