In the figure. What is the value of x? Also it cropped out the last answer choice which is 90.
1 answer:
So hmm notice the picture below
I've included the "far arc - near arc" equation to get the angle made by both tangents
now, if we make k = x, which is your case
and we make the "near arc" to "x", which is also the case
and then we make the "far arc" to say "b"
so using the "far arc - near arc" equation, we get that
I've included the "far arc - near arc" equation to get the angle made by both tangents
now, if we make k = x, which is your case
and we make the "near arc" to "x", which is also the case
and then we make the "far arc" to say "b"
so using the "far arc - near arc" equation, we get that
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Answer:
Rounded to the nearest tenth, the length of the missing side is 5.4 in.
Step-by-step explanation:
According to the Pythagorean theorem, , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):
This simplifies to . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:
This simplifies to c≈5.4 in.