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 for Blank 1:

Answer 1

x=36.08 units

Step-by-step 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,

`\cos(49 \degree) = (adjacent)/(hypotenuse)`

`\cos(49 \degree) = \frac {x}{55}`

Solve for x,

`x = 55\cos(49 \degree)`

x=36.0832

Rounding to the nearest hundredth,we have

x=36.08