By using properties of right triangles, we will see that the value of x is 7.72
How to find the length of side x?
In the image we have a set of right triangles, and we want to find the value of x.
Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:
Cos(64°) = A/18
18*cos(64°) = A = 7.05
Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05
Then the value of x is given by the equation:
x = 7.05/sin(20°) = 7.72
We conclude that the value of x is 7.72
If you want to learn more about right triangles:
https://brainly.com/question/2217700
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