Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
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Answer:

Step-by-step explanation:
<em>See comment for complete question.</em>
The given information is represented in the attached figure.
First convert 22°8'6'' and 30° 40’ 30” to degrees




Considering Jason's position:

Where x = distance between the tree and Alison
Make H the subject

Considering Alison's position

Make H the subject




Open bracket


Collect Like Terms



Make x the subject


Substitute 104.76 for x in 



The above represents the height of the tree.
The height of the owl is:



solving equation in terms of x we get 
solving equation in terms of y we get 
Step-by-step explanation:
We need to solve the equation: 
Solving the equation:

Simplifying and finding value of x:

We can simplify and find value of y as well:

So, solving equation in terms of x we get 
solving equation in terms of y we get 
Keywords: Solving Equations
Learn more about Solving Equations at:
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Hope this helps! :)