The correct question is The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 . What is the measure of the angle?
Let </span>∅--------> the angle cos ∅=√2/2<span> cos </span>∅=[distance of one of the leg/hypotenuse] [distance of one of the leg/hypotenuse]=√2/2
<span>I could say that </span>distance of one of the leg=√2 and hypotenuse=2 so <span>applying the Pythagorean theorem </span>c=hypotenuse=2 a=√2 b=? c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore if a=b then the angle ∅=45°
the answer is the option <span>b.45 degrees</span>
