Question
Which ratio represents the value of tanA in the triangle shown? (1 point) Responses 817 8 over 17 1517 15 over 17 815 8 over 15 158. W 8 L 15 ANGLE 17
Answers
GPT-4o mini
In a right triangle, the tangent of an angle \( A \) (denoted as \( \tan A \)) is the ratio of the length of the opposite side to the length of the adjacent side.
From the information given:
- It seems like "W 8" may refer to the length of the opposite side (8).
- "L 15" may refer to the length of the adjacent side (15).
- The "ANGLE 17" likely refers to angle \( A \), but it's not directly used in calculating the tangent here.
Using the standard definition of tangent:
\[
\tan A = \frac{\text{opposite}}{\text{adjacent}} = \frac{W}{L} = \frac{8}{15}
\]
Therefore, the ratio that represents the value of \( \tan A \) is \( \frac{8}{15} \).
From the information given:
- It seems like "W 8" may refer to the length of the opposite side (8).
- "L 15" may refer to the length of the adjacent side (15).
- The "ANGLE 17" likely refers to angle \( A \), but it's not directly used in calculating the tangent here.
Using the standard definition of tangent:
\[
\tan A = \frac{\text{opposite}}{\text{adjacent}} = \frac{W}{L} = \frac{8}{15}
\]
Therefore, the ratio that represents the value of \( \tan A \) is \( \frac{8}{15} \).