Question

What is the value of tan C in this triangle?

725

247

2425

724
Right triangle A B C with right angle at angle B. A B is 24 units long. B C is 7 units long.

Answer 1

B.
`(24)/(7)`

Explanation:

Please find the attachment.

We have been given that triangle ABC is right angled at B. AB is 24 units long and BC is 7 units long. We are asked to find tan(C).

We know that tangent relates opposite side of right triangle to its adjacent side.

`\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}`.

Upon substituting our given values in above formula, we will get:

`\text{tan}(C)=(24)/(7)`

Therefore, tan(C) is equal to
`(24)/(7)` and option B is the correct choice.

Answer 2

For this case we have a rectangle triangle.
Therefore, we can use the following trigonometric relationship:

`tan \alpha = (opposite leg)/(Adjacent leg)`
Then, replacing values we have:

`tan C = (AB)/(BC)`

`tan C = (24)/(7)`
Answer:
Finally, the value of the tangent of the angle C, is given by:

`tan C = (24)/(7)`