Question

find m∠c.
write your answer as an integer or as a decimal rounded to the nearest tenth.
m∠c = □°

Explanation:

Step1: Recall tangent function formula

In right - triangle $BCD$, $\tan C=\frac{BD}{BC}$. Given $BD = 5.8$ and $BC=3.5$.

Step2: Calculate the tangent value

$\tan C=\frac{5.8}{3.5}\approx1.657$.

Step3: Find the angle

$C=\arctan(1.657)$. Using a calculator, $C\approx58.9^{\circ}$.

Answer:

$58.9$