Answer:
55.19 degrees
Step-by-step explanation:
See the given diagram of the triangle attached to this question.
This is a right triangle and one of its angles other than 90° is x degrees.
Now, if we assume c is the hypotenuse and a is the perpendicular, then we can write that
[tex]\sin x = \frac{\textrm{Perpendicular}}{\textrm {Hypotenuse}} = \frac{a}{c}[/tex]
Now, it is given that a = 7.8 cm and c = 9.5 cm.
Therefore, [tex]\sin x = \frac{7.8}{9.5} = 0.821[/tex]
⇒ [tex]x = \sin^{-1} (0.821) = 55.19[/tex] degrees. (Answer)
