Question

Find the value of tan 60° geometrically.

Answer 1

value of tan 60 is

tanθ= sinθ/cosθ
sin60= √3/2
cos60= 1/2

tan60= √3/2/1/2
         =  √3/1
          = √3
∴ value of tan 60 = √3

Answer 2

Answer:

Step-by-step explanation:

draw AD ⊥ BC

ABD ≅  ACD

BD = DC  BD = BC = a

and BAD = CAD  BAD = CAD = 30o

Using Pythagoras theorem in ABD,

AD2 = AB2 - BD2

AD=√3a/2

 tan 60=AD/DB=√3a/2/a/2=√3