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find cd. triangle image with right angle at d, hypotenuse cb = 9.1, ang…

Question

find cd.
triangle image with right angle at d, hypotenuse cb = 9.1, angle at b = 33°
write your answer as an integer or as a decimal rounded to the nearest tenth.
cd = blank box

Explanation:

Step1: Identify sine of angle B

$\sin(33^\circ) = \frac{CD}{BC}$

Step2: Rearrange to solve for CD

$CD = 9.1\times\sin(33^\circ)$

Step3: Calculate final value

$CD \approx 9.1\times0.5446 = 4.95596$

Answer:

$5.0$ (rounded to the nearest tenth)