The value of the missing segment AB is 4 units
Step-by-step explanation:
A 30,60,90 triangle , is a special right triangle that always contains degree angles 30°, 60° and 90°. It has its side length values which are consistent with one another such when the hypotenuse value is 2 units, the base length is 1 unit and the height is √3 units in relation to the Pythagoras theorem.
In this case, right-triangle CDB has a base angles 60° and 90°.Here the hypotenuse BC=2 units, this will mean the base length DB = 1 unit and the height DC is √3 units. So finding AD, you have CD =√3 and angle CAD =30°, applying the tangent of an angle formula;
tan Ф°=opposite length/adjacent length
tan 30°=√3/AD
AD= √3 /tan 30°
AD= 3 units
Missing segments AB=AD+DB
AB=3+1=4
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Special right-triangle : https://brainly.com/question/12046883
Keyword: right-triangle, segments
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