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3 years ago

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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Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

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3 years ago

On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.

koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

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multiplying through by 3, we have

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x₂ = -1

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10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

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y₂ = -2

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2 years ago

The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area o

melamori03 [73]

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Step-by-step explanation:

We know that the volume of an oblique pyramid is given by :-

$\text{Volume}=\dfrac{1}{3}\text{(Base Area x height) }$

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.

Then, we have

$V=\dfrac{1}{3}\text{(Base Area x h) }$

Multiply 3 on both sides , we get

$3V=\text{(Base Area x h) }$

Divide both sides by h , we get

$\dfrac{3V}{h}=\text{Base Area }$

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3 years ago

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Katena32 [7]

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The above means that;

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So, we have:

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