So here, we are looking at a right triangle. We are given one side, which is a leg, and an angle. Usually when we see a right triangle, we use the Pythagorean theorem. But not in this case because we’re missing two sides. And we need to find the hypotenuse.
To solve this problem, we will use trigonometric functions, which is sine, cosine, and tangent.
Sin=opposite/hypotenuse
Cos=adjacent/hypotenuse
Tan=opposite/adjacent
In this case, we will use sine because from the angle 44, we are given the opposite side and need to find the hypotenuse. So let’s set it up.
Sin=opposite/hypotenuse
Hypotenuse will be x
Sin44=63/x
Cross multiply:
Sin44x=63
Divide both sides by sin44:
x=63/sin44
Calculate:
90.6920619964
That’s your answer! Hope this helped!