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Law Incorporation [45]
1 year ago
5

If you stand 100 feet away from a flagpole, and the angle of elevation to the top of the pole is 31°, what is the height of the

flagpole?
Mathematics
1 answer:
Reika [66]1 year ago
4 0

The height of the flagpole with an angle of elevation to the top of the pole of 31° is 60.086 feet

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a triangle.

Let h represent the height of the flagpole, hence:

tan(31) = h/100

h = 60.086 feet

The height of the flagpole with an angle of elevation to the top of the pole of 31° is 60.086 feet

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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How do you simplify expressions with rational exponents
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Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
2 years ago
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Step-by-step explanation:

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2 years ago
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C. 800 miles per 16 hours

Step-by-step explanation:

600 ÷ 15 = 40

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800 ÷ 16 = 50

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10x –3 = 4x + 8 What Is X?
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Step-by-step explanation:

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2 years ago
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Kisachek [45]

Answer:

yes

Step-by-step explanation:

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8 0
2 years ago
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