Answer:
1. 73 degrees 2. 53 degrees
Step-by-step explanation:
1. In this triangle, the opposite side has length 22, the hypotenuse has length 23. The trigonometric ratio that uses opposite and hypotenuse is the sine.
The sine = (opposite) / (hypotenuse) so the sine of the angle is 22/23.
Use the inverse sine function to find the angle.
[tex]\sin^{-1} (22/23) \approx 73^\circ[/tex]
2. In this triangle, the adjacent side has length 3, the hypotenuse has length 5. The cosine ratio uses these two sides.
The cosine = (adjacent) / (hypotenuse) so the cosine of the angle is 3/5.
Use the inverse cosine function to find the angle.
[tex]\cos^{-1}(3/5) \approx 53^\circ[/tex]
