Question

Given right triangle GYK, what is the value of tan(G)

Answer 1

D

Explanation:

Answer 2

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
`x^2+27^2 =54^2\\x^2 =54^2-27^2 =81(27)\\x=9(3)√(3) \\x=27√(3)`

Tangent G = oppsite side/adj side

=
`(27√(3) )/(27) =√(3)`

Answer is tan 60 = tan G = sqrt (3)