Answer:
Step-by-step explanation:
Given is a right triangle GKY with angles 60, 90 and 30 respectively
We have to find tangent of angle G
From the triangle we see that smaller side i.e. side opposite angle 30 = 27
Since in 30,60,90 triangle, hypotenuse would be the double of smaller side
we have hypotenuse = 2(27) = 54
The second leg can be obtained using Pythagorean theorem
If second leg = x
then [tex]x^2+27^2 =54^2\\x^2 =54^2-27^2 =81(27)\\x=9(3)\sqrt{3} \\x=27\sqrt{3}[/tex]
Tangent G = oppsite side/adj side
=[tex]\frac{27\sqrt{3} }{27} =\sqrt{3}[/tex]
Answer is tan 60 = tan G = sqrt (3)
