Question

Please help with trig homework

Answer 1

Triangle BCD is similar to triangle ACE, so corresponding side lengths are proportional to one another and we have

`\frac34=(5.2)/(5.2+x)`

Solve for
`x`:

`3(5.2+x)=4\cdot5.2\implies15.6+3x=20.8\implies3x=5.2\implies x\approx1.73`