Answer:
h= 68 ft
Step-by-step explanation:
To solve for height of the building, we would add 28 feet and the y component of the tree.
To find the height of the tree when it leans against the building, use the Pythagorean Theorem.
[tex]a^{2}+b^{2}=c^{2}[/tex]
[tex]9^{2}+b^{2}=41^{2}[/tex]
[tex]81+b^{2}=1681[/tex]
[tex]b^{2} =1600[/tex]
b= 40
Now add 40 and 28 to find the height of the building.
40+28= 68 ft
