Corey stepped back 59.71 feet to get a better view of the bird.
Explanation:
This is a right angled triangle. Let be the angle of elevation.
Let the adjacent side of the triangle be x for the angle
Let the opposite side of the triangle by y for the angle
Thus,
Since, the height of the tree is 80 feet,
To find the value of x, let us substitute and
Since, Corey moves back a few steps to gain a better view of the bird, the angle of elevation is 41°
Now, we shall find the x for and
To find how many feet Corey step back is to subtract the value of two adjacent sides, thus,
Thus, Corey stepped back 59.71 feet to get a better view of the bird.