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DaniilM [7]
4 years ago
7

from a point on the ground 12ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53 degrees.

how tall is the flagpole
Mathematics
1 answer:
krek1111 [17]4 years ago
3 0

Answer: the flagpole is 16 feet tall.

Step-by-step explanation:

A right angle triangle is formed.

The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.

To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 53 = h/12

h = 12Tan53 = 12 × 1.327

h = 16 feet to the nearest whole number

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Papessa [141]

Min: 2  Q1: 7.5  Med: 11 Q3:14  Max:17

Step-by-step explanation:

Min is the minimum value of the provided data. In this case it is easier to tell because the numbers are arranged in ascending order;

The minimum value is;

= 2

Quartile 1 is the value that divides into half, the first half of the provides values. The first half of the value is divided by the median (In this case 11). The value that is halfway the values before median value is the Q1

In this case, we end up with two values because the numbers of values are even;

6 & 9

We sum the two and divide by 2

(6 + 9) / 2 = 7.5

Median is the value that is in the middle of all the provided values arranged in ascending order. Because the values are even, we end up with two numbers;

11 & 11

Again we sum the two and divide by 2;

(11 + 11) / 2 = 11

Quartile 3 is the value that divides into half, the second half of the provided values. This means the value three-quaters way. Because the number of provides values is even, then we end up with two values;

14 & 14

We sum the two and divide by 2

(14 + 14) / 2 = 14

Max value is the largest number of all the values;

= 17

Learn More:

For more on Quartiles check out;

https://brainly.in/question/13258083

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7 0
4 years ago
Read 2 more answers
A block of pine wood , 4.0 cm on each side has of 27g what is the density of this block
Pavel [41]

The density of the pine wood, 4 cm on each side is 27/64 gram per cubic cm.

It is given in the question that each of the sides of the pine wood is 4 cm and it has the mass of 27 g.

We know that, the formula for density is given by:-

Density = Mass/Volume

As the pine wood has all of the sides equal, hence it is of cubic form.

We know that the volume of a cube = side^{3}

Here, we have,

Side = 4 cm

Hence,

Volume of pine wood = (4cm)^{3}=64cm^{3}

We know that,

Mass of pine wood = 27g

Hence, we can find,

Density of pine wood = \frac{27g}{64cm^{3} }=\frac{27}{64}g/cm^{3}

To learn more about density, here:-

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8 0
2 years ago
A bank is offering 3.5% simple interest on a savings account. If you deposit
arsen [322]

Answer: $525

Step-by-step explanation:

The formula for Simple interest is calculated as PRT where

P = Principal = $7500

R = Rate = 3.5%

T = Time = 2 years

Interest = PRT

= 7500 × 3.5% × 2

= 7500 × 0.035 × 2

= $525

5 0
3 years ago
Jed deposited $400 into a bank that offers 3.9% interest rate compounded daily and how many years will his balance be $800 ​
Mekhanik [1.2K]

Answer:

18 years ( approx )

Step-by-step explanation:

Since, if an amount is compounded daily,

Then, the final amount after t years is,

A= P(1 + r/365) 365t

Where, P is the principal amount

r is the annual rate ( in decimals ),

t is the number of years,

Given,

A = $ 800,

r = 3.9% = 0.039,

P = $ 400,

By substituting the values,

800= 400 (1 + 0.039/365)365t

t = 17.774 = 18

Hence, his balance will be $800 after approximately 18 years.

3 0
4 years ago
⭐️GIVING BRAINLIEST⭐️
lozanna [386]
They pay $16,290 in taxes and deductions, so $108,600 divided by $16,290 is around 6.6%
4 0
3 years ago
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