Answer:
23°
Step-by-step explanation:
This is a right triangle, so we can trigonometric ratios to solve for the angle. Since 3 sides are given, we can use either sine, cosine, or tangent to solve.
Let's just take sine to solve this. We know:
<em>Where x is the angle and opposite side is the side opposite and hypotenuse is the side opposite the 90 degree angle.</em>
So let the indicated angle be x, so the opposite side is 30 and hypotenuse is 78. Putting in the formula we get:
To the nearest degree, this is 23°