Question

find cd.
triangle with right angle at c, angle at d is 22°, bc is 3.2
write your answer as an integer or as a decimal rounded to the nearest tenth.
cd =
submit button work it out

Explanation:

Step1: Identify trigonometric ratio

In right triangle \(BCD\), \(\angle C = 90^\circ\), \(\angle D = 22^\circ\), and \(BC = 3.2\). We use the tangent function: \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\tan(22^\circ)=\frac{BC}{CD}\), so \(CD=\frac{BC}{\tan(22^\circ)}\).

Step2: Substitute values and calculate

Substitute \(BC = 3.2\) and \(\tan(22^\circ)\approx0.4040\) into the formula: \(CD=\frac{3.2}{0.4040}\approx7.9\).

Answer:

\(7.9\)