Answer:
9.3 feet
Step-by-step explanation:
See attachment for the picture.
Let f represent how high up the bird is in the tree.
This side length of the right triangle is opposite the given angle which is 25 degrees.
The side length adjacent to the given angle is 20 ft.
We use the tangent ratio to obtain:
[tex]\tan 25\degree=\frac{opposite}{adjacent}[/tex]
We substitute the values to obtain:
[tex]\tan 25\degree=\frac{f}{20}[/tex]
[tex]f=20\tan 25\degree[/tex]
f=9.3 ft
Therefore the bird is 9.3 feet high up in the tree.
