What is measure of angle P?

Question

asked Jul 17, 2020 212k views

1 Answer

DotNet NF · Answer 1 · 2020-07-24T01:23:39+0000

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:

$P=61.93\°$