Question

the figure below shows a triangular piece of cloth: what is the length of the portion bc of the cloth? 8 sin 35° 8 cos 35° 8 / sin 35° 8 / cos 35°

Explanation:

Step1: Recall the sine definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 35^{\circ}$, the hypotenuse $AC = 8$ in, and we want to find the length of $BC$ (opposite side to angle $A$).

Step2: Apply the sine formula

We have $\sin35^{\circ}=\frac{BC}{8}$. Solving for $BC$, we get $BC = 8\sin35^{\circ}$.

Answer:

$8\sin35^{\circ}$