Answer:
The ladder is 35.71 feet up the building 
Step-by-step explanation:
Here, we want to calculate how far up the building is the ladder placed
We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35
To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides 
In this case, let the height be 
50^2 = 35^2 + h^2
h^2 = 50^2-35^2
h^2 = (50+35)(50-35)
h^2 = (85)(15)
h^2 = 1275
h = square root of 1275
h = 35.71 ft 
 
        
             
        
        
        
Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima

Equate I derivative to 0

If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
= cubic metres
 cubic metres
 
        
             
        
        
        
-6/5,-236/5 would be the minimum
        
             
        
        
        
the square root of 25 is 5
5x5=25