Question

The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A

Answer 1

Answer:  B.  sqrt(3)

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Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer 2

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)