find the tangent of $angle c$.\nsimplify your answer and write it as a proper fraction, improper fraction…
find the tangent of $angle c$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$\tan(c) = $
Answer
Explanation:
Step1: Find side BD via Pythagoras
$$BD = \sqrt{BC^2 - DC^2} = \sqrt{17^2 - 8^2} = \sqrt{289 - 64} = \sqrt{225} = 15$$
Step2: Define tangent of ∠C
$$\tan(C) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{BD}{DC}$$
Step3: Substitute values and simplify
$$\tan(C) = \frac{15}{8}$$
Answer:
$\frac{15}{8}$