Given that ABCD is a rhombus, what is the value of x?
2 answers:
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<h2>Hello!</h2>
The asnwer is: Cos50° ≈ 0.643
<h2>Why?</h2>A unit circle is a cirgle with a radius equal of 1, knowing that, also know the following:
The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:
So,
Cos50° ≈ 0.643
We can prove that by following the next steps:
- If it's a unit circle,here is a right triangle with hypotenuse of 1,
- We can determine the cosine of the angle by the following formula:
Therefore,
Cos(α)=49.98°≈50°
Also, if there is a right triangle, according to the Pythagorean Thorem:
Hence,
Cos50° ≈ 0.643
Have a nice day!