Question

1. find the missing sides of the triangles - round a) x 61° 11

Explanation:

Step1: Use tangent function

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 61^{\circ}$ and the adjacent - side to $\theta$ is $x$ and the opposite - side is $11$. So $\tan61^{\circ}=\frac{11}{x}$.

Step2: Solve for $x$

Since $\tan61^{\circ}\approx1.804$, we can rewrite the equation as $1.804=\frac{11}{x}$. Cross - multiplying gives $1.804x = 11$. Then $x=\frac{11}{1.804}\approx6.1$.

Answer:

$x\approx6.1$