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=(36)/(60)=\frac{60}x`


which tells you that


`(36)/(60)=\frac{60}x\implies x=(60^2)/(36)=100`