SOLUTION: The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of square root of 2 divided by 2? What is the measure of the angle? A)30 degrees B)45 d

Click here to see ALL problems on Finance

Question 962473: The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of square root of 2 divided by 2?
What is the measure of the angle?
A)30 degrees
B)45 degrees
C)60 degrees
D)90 degrees
Found 2 solutions by Alan3354, hkwu:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
You can find that on the unit circle, or you can use a calculator.
================
In actuality, you should know that without looking anywhere.

Answer by hkwu(60) (Show Source):
You can put this solution on YOUR website!
If x is the angle and

then we have that

and so, if we recall our special triangle with legs length √2, and hypotenuse 2 (this is the same as the triangle with legs length 1 and hypotenuse length √2), we get that the angle is

which is 45�.