contestada

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 below class=

Respuesta :

amy16084
you have to use trig so x equal to 55 x cos(49=36.08
boffeemadrid

Answer:

[tex]x=36.08[/tex]

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

[tex]\frac{x}{55}=cos49^{\circ}[/tex]

⇒[tex]x=55(cos49^{\circ})[/tex]

⇒[tex]x=55(0.656)[/tex]

⇒[tex]x=36.08[/tex]

Therefore, the value of x will be 36.08.

Otras preguntas