The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 2 . what is the measure of the angle?a.30 degreesb.45 degreesc.60 degreesd.90 degrees
Accepted Solution
A:
the correct question is The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √2/2 . What is the measure of the angle?
Let ∅--------> the angle cos ∅=√2/2 cos ∅=[distance of one of the leg/hypotenuse] [distance of one of the leg/hypotenuse]=√2/2
I could say that distance of one of the leg=√2 and hypotenuse=2 so applying the Pythagorean theorem c=hypotenuse=2 a=√2 b=? c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2