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kifflom [539]
3 years ago
8

A tree casts a 9 ft shadow at the same time that a person 6 ft tall casts a 4 ft shadow. what is the height of the tree?

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

Answer: 13.5 ft.

Step-by-step explanation:

Let x be the height of tree.

Given: A tree casts a 9 ft shadow at the same time that a person 6 ft tall casts a 4 ft shadow.

Since both the tree and the man are standing vertical to the ground at the same time so the sun rays will make the same angle , therefore, the triangles made by both tree and man are similar.

And  in the similar triangles, the sides are proportional.

Therefore,

\frac{x}{9}=\frac{6}{4}\\\Rightarrow\ x=\frac{6\times9}{4}\\\Rightarrow\ x=13.5

hence, the height of the tree is 13.5 ft.

Valentin [98]3 years ago
5 0
The height of the tree is 13.5 feet tall.
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Sara Is 4 5/8 feet tall. Her younger sister is 4/5 as tall as her. How tall is Sara’s sister
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Lm=6x+3 mn=4x-17 ln=x+14 (find the range of possible values for x, help a sister out)
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Step-by-step explanation:

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lm+mn>ln

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5 0
2 years ago
NEED ANSWERED ASAP
fomenos
The answer is 10 2/3, 5

Proof:

Solve the following system:
{x/2 + y/3 = 7 | (equation 1)
{x/4 + (2 y)/3 = 6 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{x/2 + y/3 = 7 | (equation 1)
{0 x+y/2 = 5/2 | (equation 2)

Multiply equation 1 by 6:
{3 x + 2 y = 42 | (equation 1)
{0 x+y/2 = 5/2 | (equation 2)

Multiply equation 2 by 2:
{3 x + 2 y = 42 | (equation 1)
{0 x+y = 5 | (equation 2)

Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 32 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 3:
{x+0 y = 32/3 | (equation 1)
{0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 10 2/3, y = 5
8 0
3 years ago
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