in a triangle ABC right angled at B. BC = 20. angle A =30. find AC
plz answer correctly if u blabber like something I will report ur ID
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Answer:
Sin 30 degree= opp/hypo
1/2=bc/ac
1/2=20/x
x=20/2
x=10
x=ac
ac=10
Answered by
0
Answer:
AC = 40/✓3
Step-by-step explanation:
Draw a right angled ∆ABC using given instructions:
Here sec30° = AC/BC
2/✓3 =x/20
40=x✓3
x =40/✓3
By Pythagoras theoram:
(AC)^2 = (AB)^2+ (BC)^2
(40/✓3)^2 = (AB)^2 + (20)^2
1600/3 = (AB)^2 + 400
(AB)^2 = 1600/3 - 400/1
(AB)^2 = 1600 - 1200/3
(AB)^2 = 400/3
AB = ✓400/3
AB = 20/✓3
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