Question

Find x. A) 28 B) 96 C) 24 D) 100

Answer 1

The smaller triangle to the upper right, with sides $y$, 36 and 60, is similar to the larger triangle whose hypotenuse is $x$. The corresponding angle $\theta$ is labeled in the attached image. It satisfies

$\sin\theta=\dfrac{36}{60}=\dfrac{60}x$


which tells you that

$\dfrac{36}{60}=\dfrac{60}x\implies x=\dfrac{60^2}{36}=100$