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Find AB in the given figure
  • a)
    √3
  • b)
    30√3
  • c)
    20√3
  • d)
    10√3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find AB in the given figurea)√3b)30√3c)20√3d)10&radi...
Use tanθ formula in both the triangles ABC and ABD.
tan 60 =h/x
tan 30 =h/60+x
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Most Upvoted Answer
Find AB in the given figurea)√3b)30√3c)20√3d)10&radi...
Given:
DC=40cm
CB=Xcm
AB=(40+X)cm

To find:
AB=h=?

Sol:
tan60= opp/adj = h/X=√3 => h=X√3 —>1
tan30= opp/adj = h/40+X=1/√3 => h=(40+X)/√3 —>2

from eq.1&2:
X√3 = (40+X)/√3
3X=40+X
2X=40
X=20

therefore, h=(40+20)/√3
h=20√3
hence the option is 'c'
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