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3 years ago

9

Sarah measures the length of elevation to the top of a tree as 23.6 degree from where she is standing at a point 250 meters from

it's base.Her eye level, where the angle measurement was taken is 1.5 meters above the ground level.assuming the ground is horizontal, fine the height of the tree.

1 answer:

Elenna [48]3 years ago

3 0

The height of the tree is 110.7 meters.

<u>Step-by-step explanation</u>:

Form a triangle with an angle 23.6 and base 250 meters and height x meters.

From the triangle,

tan (23.6) = Opposite / Adjacent

tan (23.6) = x / 250

x = 250 tan(23.6)

⇒ 250 0.436889

⇒ 109.2 m

x = 109.2 m

The height of the tree = x+1.5

= 109.2+1.5

= 110.7 m

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Please answer this if you can thank you :))

krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) $4x^3$ .

The degree is 3.

2) $x^2+4$ .

The degree is 2.

3) $x-2$

The degree is 1.

B column:

1) $2x^2+1$

The degree is 2.

2) $x^2-x$

The degree is 2.

3) $x^3-5x^2+1$

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) $(4x^3)(2x^2+1)$ .

= $8x^5+4x^3.$

The degree is 5.

2) $(x^2+4)(x^2-x)$ .

= $x^4-x^3+4x^2-4x$ .

The degree is 4.

3) $(x-2)(x^3-5x^2+1)$ .

$=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.$

The degree is 4.

3 0

3 years ago

The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

jek_recluse [69]

The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

Thus, the side length of the cube is $8\sqrt{3}$ cm.

So, the height of the cylinder with maximum volume will be $h=8\sqrt{3}$ cm and the diameter will be $d=8\sqrt{3}$ cm i.e. the radius will be $r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}$ cm.

So, using the above formula for the volume of a cylinder, we get

$V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3$ .

Therefore, the biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

To know more about volume, refer: brainly.com/question/1972490

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4 0

2 years ago

Read 2 more answers

According to these three facts, which statements are true?

Norma-Jean [14]

Sinuar and radius of 16 are true

8 0

3 years ago

Read 2 more answers

Dylan's Dog weighs 12 times as much as his pet Rabbit. The Dog and Rabbit weigh 104 pounds altogether. How Much does Dylan's Dog

aleksley [76]

When r is the weight of the rabbit:
13r = 104
/13 /13
r = 8
Now, subtract:
104
<span>- 8
</span>= <span>96
</span>Dylan's dog weighs 96 pounds.
Hope this helps!

6 0

3 years ago

When simplified, what is the exponential<br>form of the following expression 3⁴.35.36

matrenka [14]

Answer:

$3^4*3^5*3^6 = 3^{15}$

Step-by-step explanation:

Given

$3^4*3^5*3^6$

Required

Simplify

To do this, we apply laws of indices:

$a^m * a^n = a^{m+n}$

So:

$3^4*3^5*3^6 = 3^{4+5+6}$

Add the exponents

$3^4*3^5*3^6 = 3^{15}$

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3 years ago