Question

In the triangle below

Answer 1

Answer: first option.

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((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((adjacent)/(hypotenuse))`.

Therefore, the measure of the angle ∠C is:

`\angle C=arccos((7)/(15))\\\\\angle C=62.2\°`