Question

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 1

`x=36.08`

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

`(x)/(55)=cos49^(\circ)`

⇒
`x=55(cos49^(\circ))`

⇒
`x=55(0.656)`

⇒
`x=36.08`

Therefore, the value of x will be 36.08.

Answer 2

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