Trigonometry question

Finding this to the nearest hundredth of a foot is rediculus becasue all the given measurmennts are estimations.

It could not be accurate even to the nearest foot, but anyway....

Use trig to find x

then use trig to find   x+y

Then subtract to find y

How many feet did Corey step back to gain a better view of the bird?

Hello Guest!

$tan\ 41^o=\frac{80\ ft}{\frac{80\ ft}{tan\ 65^o}+y}\\ \frac{80\ ft}{tan\ 65^o}+y= \frac{80\ ft}{tan\ 41^o}\\ y= \frac{80\ ft}{tan\ 41^o}-\frac{80\ ft}{tan\ 65^o}\\ \color{blue}y=54.72\ ft$

  !