Question

given right triangle gyk, what is the value of tan(g)? - 1/2 - √3/2 - 2√3/3 - √3

Explanation:

Step1: Identify angle G and sides

Angle G = 60°, right triangle at K. Adjacent to G: GK=27; Opposite to G: KY.

Step2: Apply tan(theta) = opposite/adjacent

tan(G) = KY/GK. In 30-60-90 triangle, opposite 60° = adjacent√3. Thus KY=27√3.

Step3: Calculate tan(G)

tan(G) = (27√3)/27 = √3.

Answer:

D. √3