Question

solve for x. round to the nearest tenth, if necessary. triangle with right angle at c, hypotenuse db = 30, angle at b is 43°, side bc is x

Explanation:

Step1: Identify right triangle parts

$\triangle BCD$ is right-angled at $C$, $\angle B=43^\circ$, hypotenuse $BD=30$, opposite side to $\angle B$ is $CD=x$.

Step2: Use sine function

$\sin(43^\circ)=\frac{x}{30}$

Step3: Solve for x

$x=30\times\sin(43^\circ)\approx30\times0.6820\approx20.6$

Answer:

20.6