Question

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

Explanation:

Step1: Use the sine function

In a right - triangle, \(\sin C=\frac{BD}{CD}\). Here, \(BD = 4\) and \(CD=6\). So, \(\sin C=\frac{4}{6}=\frac{2}{3}\).

Step2: Find the angle using the inverse sine function

\(C=\sin^{- 1}(\frac{2}{3})\). Using a calculator, \(C\approx41.8^{\circ}\)

Answer:

\(41.8\)