Question

find cd.

(there is a right triangle ced with right angle at e, ce = 2, angle at c is 56 degrees, and base cd which we need to find.)

write your answer as an integer or as a decimal rounded to the nearest tenth.
cd =
submit
work it out
not feeling ready yet? these can help:
find trigonometric functions of special angles multiply radical expressions
solve proportions lesson: trigonometric ratios

Explanation:

Step1: Identify adjacent side and hypotenuse

In $\triangle CED$, $\angle C = 56^\circ$, right angle at $E$, $CE = 2$ (adjacent to $\angle C$), $CD$ is hypotenuse.

Step2: Use cosine ratio

$\cos(56^\circ) = \frac{CE}{CD} \implies CD = \frac{CE}{\cos(56^\circ)}$

Step3: Calculate value

$CD = \frac{2}{\cos(56^\circ)} \approx \frac{2}{0.5592} \approx 3.6$

Answer:

3.6