Question

find : tan of c?

I'm thinking it would be 12 over 35 but not sure

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Answer 1

Before We Solve

We are asked to find the value of $\tan \angle C$. We are going to use the definition of trigonometric ratio to solve this problem.

Things to Know

• $\sin\theta=\dfrac{\mathrm{opposite}}{\mathrm{hypotenuse}}$
• $\cos\theta=\dfrac{\mathrm{adjacent}}{\mathrm{hypotenuse}}$
• $\tan\theta=\dfrac{\mathrm{opposite}}{\mathrm{adjacent}}$

Here, opposite means the length of the segment that is opposite to the angle. Adjacent means the length of the segment which is adjacent and not the hypotenuse.

Solution

Here, the opposite is 12 and the adjacent is 35. According to the trigonometric ratio, the answer is $\tan \angle C=\dfrac{12}{35}$.