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soldi70 [24.7K]
2 years ago
7

A 30 ft building casts a shadow that is 75 ft. long. A nearby tree casts a shadow that is 35 ft. long. How tall is the tree?

Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Answer:

The tree is 14 ft. tall.

Step-by-step explanation:

Height of the building/ Height of the tree  = Shadow of building/ Shadow of tree

30/x = 75/35           Cross multiply

75x = (30)(35)

75x = 1050

x = 1050/75

x = 14

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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190&76\\ x&24 \end{array}\implies \cfrac{190}{x}=\cfrac{76}{24}\implies 4560=76x \\\\\\ \cfrac{4560}{76}=x\implies 60=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total amount of students}}{190+60\implies 250}

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hope you understand.
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