Answer:
4.3 or 4.29
Step-by-step explanation:
Since it's a right angle triangle, you can use trig functions to solve.
You already know that the side across from P is 2 and the hypotenuse is [tex]\sqrt{78}[/tex], so you can use cosine.
[tex]cos(P)=\frac{2}{\sqrt{78}}\\cos^{-1} (\frac{2}{\sqrt{78}})=P\\P=76.912[/tex]degrees, or 1.342 radians.
Then, put in your angle for your tangent.
[tex]tan(76.912)=4.301\\tan(1.342)=4.294[/tex]
Finally, round to the hundredth:
4.301 becomes 4.3
4.294 becomes 4.29
Of course, these should be about the same, but will be slightly different because we rounded when computing cosine and tangent earlier.
