Answer: 24.99 ft
Step-by-step explanation:
1. You can find the angle A as following:
[tex]A=arctan(\frac{5}{8})\\A=32\°[/tex]
2. Now, you can calculate the height of the tree as following:
[tex]tan(A)=\frac{opposite}{adjacent}[/tex]
Where:
A=32°
opposite=x
adjacent=40
3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:
[tex]tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99[/tex]
