Question

Solve for x. round to the nearest hundredth if necessary.

Answer 1

Answer:

$x= 11.47$

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

$cos (\alpha) = \frac{adjacent}{hypotenuse}$

In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20

So:

$cos(55\°) = \frac{x}{20}$

Now we solve the equation to find the value of x

$x = 20cos(55\°)$

Finally

$x= 11.47$

Answer 2

Answer:

11.47

Step-by-step explanation:

Given

Two angles of 90 and 55 degrees

and a side of length 20

Finding third angle= 180-(90+55)

                              = 35

Finding x:

Using Law of Sines to find length of side x

x/sinX=y/SinY

x/sin35=20/sin90

x=20sin35

x=11.47 !