Question

find bd.
write your answer as an integer or as a decimal rounded to the nearest tenth.
bd =

Explanation:

Step1: Use the tangent function

In right - triangle \(BCD\), \(\tan C=\frac{BD}{CD}\).

Step2: Substitute the known values

Given \(C = 50^{\circ}\) and \(CD = 5\). So, \(\tan50^{\circ}=\frac{BD}{5}\).

Step3: Solve for \(BD\)

Since \(\tan50^{\circ}\approx1.19175\), then \(BD = 5\times\tan50^{\circ}\approx5\times1.19175 = 5.95875\approx6.0\).

Answer:

\(6.0\)