Question

practice with trigonometric ratios sp 26
true or false
$\tan(b)=\frac{35}{12}$
true
false

Explanation:

Step1: Recall tangent ratio definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$.

Step2: Identify sides for $\angle B$

For $\angle B$, opposite side is $AC = 35$, adjacent side is $BC = 12$.

Step3: Calculate $\tan(B)$

$\tan(B) = \frac{35}{12}$

Step4: Compare to given value

The given claim is $\tan(B) = \frac{35}{12}$, which matches our calculation.

Answer:

True