Answer:
6.3 ft to the nearest tenth.
Step-by-step explanation:
The length of the ladder is 11 ft, the bottom of the ladder is 9 ft from the side of the house.
The height of the house can be calculated using Pythagoras Theorem.
[tex]h^2+9^2=11^2[/tex]
This implies that;
[tex]h^2+81=121[/tex]
Group similar terms;
[tex]h^2=121-81[/tex]
[tex]h^2=40[/tex]
Take positive square root of both sides;
[tex]h=\sqrt{40}[/tex]
[tex]h=2\sqrt{10}[/tex]
[tex]h\approx6.3[/tex] to the nearest tenth
