Answer: [tex]P=61.93\°[/tex]
Step-by-step explanation:
You know that:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
And the arctangent is:
[tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex]
You can observe a right triangle in the figure.
Since you need to find the measure of the angle P, then:
[tex]\alpha=P\\opposite=15cm\\adjacent=8cm[/tex]
Knowing this, you can substitute these values into [tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex]:
[tex]P=arctan(\frac{15cm}{8cm})[/tex]
Therefore, the measure of the angle P to the nearest hundreth is:
[tex]P=61.93\°[/tex]
