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: Use cosine function

In right - triangle \( \triangle PQR\), \(\cos\angle P=\frac{PQ}{PR}\). Given \(PQ = 9\) and \(PR=10\).
So, \(\cos\angle P=\frac{9}{10}=0.9\).

Step2: Find the angle

\(\angle P=\cos^{-1}(0.9)\).
Using a calculator, \(\angle P\approx25.8^{\circ}\).

Answer:

\(25.8\)