Mathematics: Trigonometry. i can t figure it out.

Trigonometry. i can t figure it out. - id4968535, kazmiere2005oye9tz

graciecope04

17.01.2022

You also seem to be given that $m\angle ADC=50^\circ$ , according to the diagram.

In triangle ABC, we have

$\cos\angle CAB=\dfrac39=\dfrac13\implies m\angle CAB=m\angle CAD=\cos^{-1}\dfrac13$

By the law of sines,

$\dfrac{\sin\angle ADC}{AC}=\dfrac{\sin\angle CAD}{CD}$

$\implies CD=\dfrac{(9\,\mathrm{cm})\sin\left(\cos^{-1}\frac13\right)}{\sin50^\circ}\approx11.1\,\mathrm{cm}$

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hardwick744

20.12.2021

-3

Step-by-step explanation:

Parallel lines always share the same slope.

Hope it helps!

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