Find the length of ac. use that length to find the length of cd. what is the length of cd? round to the nearest tenth. a) 2.3 cm b) 4.0 cm c) 10.7 cm d) 18.6 cm

length of AC = 10 * sin(30) = 5 cm

Length of CD = 5 /tan(25) = 10.7cm

 answer is C

Answer

Find out the what is the length of CD , AC .

To prove

By using the trignometric identity

As in ΔABC

∠ B = 30° , AB= 10 cm

put in the trignometric identity

As

AC = 5cm

Now in the ΔADC

∠ D = 25° , AC = Perpendicular = 5 cm

tan 25 ° =  0.46630765815 (approx)

CD = 10 .7cm ( approx )

Option (C) is correct .

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step-by-step explanation:

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