Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?
One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction

Respuesta :

Answer: 2 is the answer

Step-by-step explanation:

did it on ed

The value of tan 60° in the triangle ABC is √3

Right angle triangle:

Right angle triangle have one of its angles as 90 degrees. The sides are called hypotenuse, adjacent and opposite side base on the angles.

Therefore,

ΔABC

∠C = 90°

AB = 12

BC = 6

∠B = 60°

∠A = 30°

Therefore,

tan 60° = opposite / adjacent

AC = √12² - 6² = √108 = 6√3

tan 60° = AC / BC

tan 60° = 6√3 / 6

tan 60° = √3

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