Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.Given right triangle GYK, what is the value of tan(G)?

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Answer:

Sqrt 3

Step-by-step explanation:

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The value of tan(G) is √3

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

In ΔGYK

∠GYK = 90°

∠KGY = 60°

∠GYK = 30°

side GK = 27

Let side KY = x

tan(Y) = tan30° = GK/KY

1/√3 = 27/x

x = 27√3

So side KY = 27√3

tan(G) = KY/KG

tan(G) = 27√3/27

tan(G) = √3

Hence, the value of tan(G) is √3

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