Question

g sides of the triangles - round answers to the b) 25° x 11

Explanation:

Step1: Identify trigonometric relation

We know that $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here $\theta = 25^{\circ}$, the opposite side to the $25^{\circ}$ - angle is $11$ and the hypotenuse is $x$.
So, $\sin25^{\circ}=\frac{11}{x}$.

Step2: Solve for $x$

We can re - arrange the equation $\sin25^{\circ}=\frac{11}{x}$ to $x=\frac{11}{\sin25^{\circ}}$.
Since $\sin25^{\circ}\approx0.4226$, then $x=\frac{11}{0.4226}\approx26.03$.

Answer:

$x\approx26.03$