1 ft = 12 inches
6 ft = 72 inches (multiply both sides by 6)
6 ft + 2 inches = 72+2 = 74 inches
6 ft, 2 inches = 74 inches
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1 ft = 12 inches
2 ft = 24 inches
2 ft + 1 in = 24+1 = 25 inches
2 ft, 1 in = 25 inches
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1 ft = 12 inches
3 ft = 36 inches
3 ft + 7 in = 36+7 = 43 inches
3 ft, 7 in = 43 inches
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To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x
(tree height)/(tree shadow) = (person height)/(person shadow)
x/43 = 74/25
25x = 43*74
25x = 3182
x = 3182/25
x = 127.28 inches
The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches
because 127/12 = 10 remainder 7, then we add on the 0.28 portion
The tree is 127.28 inches tall or 10 ft, 7.28 inches.
Given
A man is 6 feet 2 inches tall.
The length of the man's shadow was 2 feet 1 inch.
The length of the tree's shadow was 3 feet 7 inches.
A ratio is a mathematical expression written in the form of a:b, where a and b are any integers.
Here 1 feet = 12 inches
The measure of the men's height is;
[tex]= 6\times 12+2\\\\= 72+2\\\rm \\=79 \ inches[/tex]
The measure of the height of men's shadow is;
[tex]= 2 \times 12+1\\\\= 24+1\\\\=25 \ \rm inches[/tex]
The measure of the height of the tree shadow is;
[tex]= 3 \times 12+7\\\\=36+7\\\\=\rm 43 \ inches[/tex]
Therefore,
The height of the tree is;
[tex]\rm \dfrac{Tree \ height}{Tree \ Shadow}= \dfrac{Men \ height}{Men \ Shadow}\\\\\dfrac{x}{43}=\dfrac{74}{25}\\\\25 \times x=74\times 43\\\\25x=3182\\\\ x=\dfrac{3182}{25}\\\\ x=127.28[/tex]
Hence, The tree is 127.28 inches tall or 10 ft, 7.28 inches.
To know more about ratio click the link given below.
https://brainly.com/question/84848
