Question

find cd.
write your answer as an integer or as a decimal rounded to the nearest tenth.
$cd = \square$
in right triangle bcd, $\angle d = 90^\circ$, $\angle b = 66^\circ$, $bd = 2.2$

Explanation:

Step1: Identify trigonometric ratio

In right $\triangle BCD$, $\tan(\angle B) = \frac{CD}{BD}$

Step2: Substitute known values

$\tan(66^\circ) = \frac{CD}{2.2}$

Step3: Solve for CD

$CD = 2.2 \times \tan(66^\circ)$
Calculate $\tan(66^\circ) \approx 2.2460$, so:
$CD \approx 2.2 \times 2.2460$
$CD \approx 4.9412$

Step4: Round to nearest tenth

Round 4.9412 to 4.9

Answer:

$4.9$