Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:

where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:

The wall reaches 10.7 feet high.
Answer:
base=6
Step-by-step explanation:

Tony’s backpack can carry weight up to 22 but not more that that
If the variable n represents the total weight carried by tony
Then ; n less than or equal to (n=1+3+3b
=4+3b
Where b represents book
4+3b is less or equal to 22
3b is less or equal to 18
b is less or equal to 6
Therefore Tony’s backpack cannot carry more than 6 books
Answer:
Step-by-step explanation:
Since tan is equal to the opposite over adjacent
Tan(angle G)= HI/IG