Answer:
(D)
Step-by-step explanation:
It is given that GYK is a right angled triangle, which is right angled at K and the measure of the angle G is 60° and the measure of the angle Y is 30°.
Now, from the ΔGYK, using the trigonometry, we have
\(tanG=\frac{sinG}{cosG}\)
Now,the value of \(sinG\) is :
\(sinG=sin(60^{\circ})\)
=\(\frac{\sqrt{3}}{2}\)
And, the value of \(cosG\) is:
\(cosG=cos(60^{\circ})\)
=\(\frac{1}{2}\)
Now, the value of \(tanG\) is:
\(tanG=\frac{sinG}{cosG}\)
\(tan(60^{\circ})=\frac{sin60^{\circ}}{cos60^{\circ}}\)
\(tan60^{\circ}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\)
\(tan60^{\circ}=\sqrt{3}\)
Thus, option D is correct.
