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UNO [17]
3 years ago
12

Area of a trapezoid please help

Mathematics
1 answer:
Lena [83]3 years ago
5 0

Answer:

A= 30

Step-by-step explanation:

A= a+b over 2

h= 5+15 over 2 times that by 3 to get 30

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Answer:

18.7939 m

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\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

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\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

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(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

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3 years ago
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