Question

Solve for y. Please help!!

Answer 1

`y=3√(7)\ units`

Explanation:

see the attached figure with letters to better understand the problem

we know that

In the right triangle ABD

`tan(<BAD)=y/9`

In the right triangle BCD

`tan(<CBD)=7/y`

remember that

m< BAD=m<CBD

therefore

`tan(<BAD)=tan(<CBD)`

equate the equations

`y/9=7/y`

`y^(2)=63`

`y=3√(7)\ units`