Question

In the triangle below

Answer 1

Answer: first option.

Step-by-step explanation:

Given the right triangle shown in the figure, to calculate the measure of the angle m∠C, you can use the inverse function of the cosine:

$\alpha=arccos(\frac{adjacent}{hypotenuse})$

You can identify in the figure, that, for the angle ∠C:

$\alpha=\angle C\\adjacent=7\\hypotenuse=15$

Then, since you know the lenght of the adjacent side and the lenght of the hypotenuse, you can substitute these values into  $\alpha=arccos(\frac{adjacent}{hypotenuse})$.

Therefore, the measure of the angle ∠C is:

$\angle C=arccos(\frac{7}{15})\\\\\angle C=62.2\°$