Question

What is measure of angle P?

Answer 1

Answer:
`P=61.93\°`

Explanation:

You know that:

`tan\alpha=(opposite)/(adjacent)`

And the arctangent is:

`\alpha=arctan((opposite)/(adjacent))`

You can observe a right triangle in the figure.

Since you need to find the measure of the angle P, then:

`\alpha=P\\opposite=15cm\\adjacent=8cm`

Knowing this, you can substitute these values into
`\alpha=arctan((opposite)/(adjacent))`:

`P=arctan((15cm)/(8cm))`

Therefore, the measure of the angle P to the nearest hundreth is:

`P=61.93\°`