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. CA 17 AB 8 BC 15

Answer 1

In a right triangle, the tangent of an angle \( A \) is defined as the ratio of the length of the side opposite angle \( A \) to the length of the side adjacent to angle \( A \).

Given the triangle with:
- CA = 17 (the hypotenuse)
- AB = 8 (one leg)
- BC = 15 (the other leg)

We need to identify the sides relative to angle \( A \) to find \( \tan A \).

If we assume:
- CA is the hypotenuse,
- AB is opposite to angle \( A \),
- BC is adjacent to angle \( A \),

Then:
- The side opposite angle \( A \) is \( AB = 8 \).
- The side adjacent to angle \( A \) is \( BC = 15 \).

Thus, the ratio for \( \tan A \) is:

\[
\tan A = \frac{AB}{BC} = \frac{8}{15}
\]

Given the options, \( 815 \) corresponds to \( \frac{8}{15} \).

So the correct response is **8 over 15** or \( 815 \).