Question

find ( mangle p ).
write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle p=square^{circ} )

Explanation:

Step1: Apply the Law of Cosines

The Law of Cosines formula is \(c^{2}=a^{2}+b^{2}-2ab\cos C\). In \(\triangle PQR\), let \(a = 6\), \(b = 5\), \(c = 9\), and \(C=\angle P\). Then \(9^{2}=6^{2}+5^{2}-2\times6\times5\times\cos\angle P\).

Step2: Simplify the equation

$$
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$$

Step3: Find the angle

\(\angle P=\cos^{-1}(-\frac{1}{3})\approx109.5^{\circ}\)

Answer:

\(109.5\)