Question

explanation
review
find bc.
in triangle abc, angle c is a right angle, ab = 9, angle a = 26°

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(A) = \frac{BC}{AB}$

Step2: Rearrange to solve for BC

$BC = AB \times \sin(A)$

Step3: Substitute given values

$AB=9$, $A=26^\circ$, so $BC = 9 \times \sin(26^\circ)$

Step4: Calculate the value

$\sin(26^\circ) \approx 0.4384$, so $9 \times 0.4384 \approx 3.9456$

Answer:

$\approx 3.95$ (rounded to two decimal places)