Answer:
213 1/3
Step-by-step explanation:
Because I know where you got this question from.
Ratio and proportion
height:shadow=1.5:2
for the building, shadow=24
1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
36/2=h
18=h
the building is 18 meters
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
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So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
To solve this problem you must apply the proccedure shown below:
You must apply the Pythagorean Theorem.
a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:
a^2=b^2+c^2
Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.
Then, you have:
a=28 inches
b=15 inches
c^2=a^2-b^2
c=√(a^2-b^2)
c=23.6
Therefore, the answer is: 23.6 inches
a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:
a=√(b^2+c^2)
Where "a" is the hypotenuse
a=31.8 inches
The answer is: 31.8 inches
