Question

practice with trigonometric ratios sp 26
for angle a,
$\tan(a)=\frac{5}{12}$.
which set of side lengths could represent the opposite and adjacent sides of angle a?
○ all of the above
○ 15 and 36
○ 5 and 12
○ 10 and 24

Explanation:

Step1: Recall tangent ratio definition

$\tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{5}{12}$

Step2: Check 5 and 12

$\frac{5}{12}$ matches the given ratio.

Step3: Check 10 and 24

Simplify $\frac{10}{24} = \frac{5}{12}$, matches.

Step4: Check 15 and 36

Simplify $\frac{15}{36} = \frac{5}{12}$, matches.

Step5: Evaluate "All of the above"

All sets simplify to $\frac{5}{12}$.

Answer:

All of the above