Answer:
51.2
Step-by-step explanation:
Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:

You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:

Knowing these values, you can substitute them into
:

Now you must evaluate:

Finally, rounding to the nearest hundreth, you get:

Step-by-step explanation:
Attached the solution and work.