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What is the length of line segment c d? round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm

Sagot :

The value of CD is 10.7 cm , Option C is the right answer.

What is a Line Segment ?

A line segment is a line of fixed measure.

From the figure , as Triangle ABC is a right angled triangle

sin 30 degree = (Perpendicular / Hypotenuse)

∠ B = 30° , AB= 10 cm

sin 30 = AC/10

AC = 5 cm.

To determine CD ,

In Triangle ADC ,

tan 25 = Perpendicular / Base

tan 25 = AC / CD

tan 25 = 5 / CD

CD = 5 / 0.4663

CD = 10.7 cm

Therefore the value of CD is 10.7 cm , Option C is the right answer.

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