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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.

Respuesta :

carlosego
For this case we have a rectangle triangle.
 Therefore, we can use the following trigonometric relationship:
 [tex]tan \alpha = \frac{opposite leg}{Adjacent leg} [/tex]
 Then, replacing values we have:
 [tex]tan C = \frac{AB}{BC} [/tex]
 [tex]tan C = \frac{24}{7} [/tex]
 Answer:
 Finally, the value of the tangent of the angle C, is given by:
 [tex]tan C = \frac{24}{7} [/tex]

Answer:

B. [tex]\frac{24}{7}[/tex]

Step-by-step 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.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex].

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

[tex]\text{tan}(C)=\frac{24}{7}[/tex]

Therefore, tan(C) is equal to [tex]\frac{24}{7}[/tex] and option B is the correct choice.

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