The height of the tree and the building are 7.6 m and 28.6 m respectively.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Two triangles are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Triangle BGD, CHD and AFD are similar triangles.
CH = 1.6, DH = 8, GH = 30, GF = 105
FH = GF + GH = 105 + 30 = 135
FD = FH + DH = 135 + 8 = 143; GD = 30 + 8 = 38
Hence, using similar triangles:
BG/CH = GD / DH
BG / 1.6 = 38/8
BG = 7.6 m
Also:
building/CH = DF / DH
building / 1.6 = 143/8
building = 28.6 m
The height of the tree and the building are 7.6 m and 28.6 m respectively.
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Answer:
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ANSWER

EXPLANATION
The given quadratic trinomial is

Comparing to the general quadratic trinomial:

We have a=1, b=10 and c=-8

The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;

Factor;

Factor further;

The last option is correct.
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