When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to the nearest foot?

Answers

Answer 1

Answer:

18.91 cm

Step-by-step explanation:

Let x represent the height of the flag pole

Tan= opposite/ adjacent

Tan 42°= x/21

x= Tan 42° × 21

= 0.9004 × 21

= 18.91 cm

Hence the height is 18.91 cm


Related Questions

There were 60 students enrolled in Grade 5 last year. If 66 students are enrolled in the same grade level this year, what is the percentage increase in the number of Students?

Answers

There is a 10% increase

There are 6 more students this year than there were last year.

If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.

//

[tex]60 \times 0.10 = 6[/tex]

[tex]10\% \: of \: 60 \: is \: 6[/tex]

[tex]60 + 6 = 66[/tex]

how do I found a scale factor of a scale copy?

Answers

Answer:

first you have to look at one of the sides of the scaled copy. If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

Find the slope between the points (2, -10) and (-4, 2).
A) 1/4
B) -2
C) 4
D) -1/2

Answers

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

El perímetro de un rectángulo es 36cm Uno de los lados es 6cm más que el otro lado ¿ Cual es el área del rectángulo?

Answers

La área es 72cm cuadrados

Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1.65% annual simple interest on the money in the account.

What was the balance in his account at the end of 4.5 years?

Enter the amount in the account in the box.

Answers

Answer:

$5,048.98

Step-by-step explanation:

took the test

please help me on this will give you brainliest

Answers

Answer:

ST =6.9

SR =15.9

Step-by-step explanation:

HELP please can you answer this please

Answers

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

How tall are 2 chairs stacked together? The height of the chairs
5 chairs are 51 inches high
3 chairs are 45 inches high
8 chairs are 60 inches high

Answers

Answer: 20.4  damm this easy

Find the circumference for the circle below. Round your answer to the nearest
tenth
radius = 17

Answers

The circumference of a circle is 2 πr

If the radius of a circle is 17, then it becomes 2 π17

Rounded to the nearest tenth, 2 π17 is 106.8

what is 9 1/6 - 2 3/4?

Answers

Answer:

6 5/16

Step-by-step explanation:

Hope this helped :)

Ashley made 2 out of 4 total shots. What percent of her shots did she make?

Answers

Answer:

50%

Step-by-step explanation:

2 divided by 4 is .5

.5 ×100 =50

if you simplify in fraction form it would be 2/4 equals 1/2 which would still give you the same answer

2/3 times 3/4 I need an sender

Answers

Answer:

6/12 but to simplify it would be 1/2

Answer:

[tex]\frac{2}{3} *\frac{3}{4}[/tex]       = 1/2

Step-by-step explanation:

2/3 * 3/4

6/12=1/2

Find the area of the triangle.

Answers

Answer:

86.1yd

Step-by-step explanation:

area of a triangle= base*height/2

21*8.2=172.2

172.2/2=86.1

Answer:

86.1yd2

Step-by-step explanation:

area=1/2×b×h

a=1/2×21×8.2

a=86.1yd2

7x — 3х – 4 = -1 + 21

Answers

Answer:

x = 6

Step-by-step explanation:

7x - 3x - 4 = -1 + 21

4x - 4 = 20

4x - 4 + 4 = 20 + 4

4x = 24

4x/4 = 24/4

x = 6

X=6 I believe hope this helps

Find the distance between (2, 8) and (−6, 2).

The distance is ( ) units.

Answers

Answer:

✓100 = 10

Step-by-step explanation:

2= x1

8= x2

-6= y1

2= y2

Then you apply your distance formula to solve.

Hope it helps

help me out i would really appreciate it

Answers

Answer:

I think they both are linear

Yes, both of the questions are linear.

one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball

Answers

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

what is the answer yx3=15?

Answers

Answer:

5

Step-by-step explanation:

The answer to the question is 5

URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.

Answers

Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as [tex]3.0\times 10^3[/tex]

Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch

Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches

1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?

Answers

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.

Answers

X=45*14 is the answer

3) Asanji's school is selling tickets to the annual dance competition. On the first day of ticket sales the
school sold 1 senior citizen ticket and 2 child tickets for a total of $32. The school took in $208 on the
second day by selling 12 senior citizen tickets and 8 child tickets.
This situation is modeled by the system below where x-a senior ticket and ya child ticket
x + 2y = 32
12x + 8y = 208
Find the price of a senior citizenticket and the price of a child ticket.

A) senior citizen ticket: $12, child ticket: $4

B) senior citizen ticket: $6, child ticket: $16

C) senior citizen ticket 10$, child ticket 11$

D) senior citizen ticket: $9, child ticket: $6

Answers

Answer:

C) senior citizen ticket 10$, child ticket 11$

Step-by-step explanation:

Drew orders a video game online for $50.00. He has a 30% discount
code, and the sales tax is 6%. What is the total cost of his order?

Answers

50(30%) = 15

50 - 15 = 35

35 (6%) = 2.1

35 + 2.1 = $37.10

the total cost of his order is $37.10 !!

Direction: Simplify each expression using Product Rule.

: (−
3)(23
) = −2(
3+1
1+3
)

= −2



1. (
2
)(
4
) = 6. (34
)(2
)(
3
)

2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)

3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)

4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =

5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=

Answers

Answer:

pagal answer toone khoo

Find the area of the figure. PLEASE HELP

Answers

Answer:

23.49 in.

Step-by-step explanation:

Formula for area of triangle: 1/2 * b * h

1/2 * 16.2 = 8.1

8.1 * 2.9 =23.49 in.

Sari wrote the equivalent ratios below to convert cups to fluid ounces. How many fluid oz. Are in 9 cups.

Answers

Answer:

the  number of fluids ounces in 9 cups is 72 fluid ounces

Step-by-step explanation:

The computation of the number of fluids ounces in 9 cups is shown below:

As we know that

In 1 cup = 8 fluid ounces

So for 9 cup it is

= 9 × 8

= 72 fluid ounces

hence, the  number of fluids ounces in 9 cups is 72 fluid ounces

A five feet tall man casts a shadow rhat is 4 1/3 feet long. A telephone pole casts a shadow that is 25.5 feet long. How tall is the telephone pole in inches

Answers

Answer:

22.1 inches

Step-by-step explanation:

The shadow is formed at a specific factor of the original image hence if a 5 feet tall man casts a shadow rhat is 4 1/3 feet long then a  telephone pole casts a shadow that is 25.5 feet long must have a length

5 / 4 1/3 = x / 25.5

where x is the length of the pole

5 / 13/3 = x/ 25.5

15/13 = x/25.5

cross multiply

15 * x = 13 * 25.5

Divide both sides by 15

x = 13 * 25.5 / 15

x = 22.1 inches

The telephone pole in inches is 22.1 long

Elias swam 1,170 laps in the pool last week. If he
spent a total of 6 hours swimming laps, how
many laps per minute did he average?

Answers

6 hrs x 60 min = 360 min

1170/360=3.25 laps/min

Please help for 18 points

Answers

Answer:

9 per game.

Step-by-step explanation:

45y/5x

I'm not so sure what the equation would look like

45 points (y) divide by 5 games (x) on a graph (5,45) Answer: 9

3. CONSTRUCTION A rectangular deck is built


around a square pool. The pool has side length s. The


length of the deck is 5 units longer than twice the side


length of the pool. The width of the deck is 3 units


longer than the side length of the pool. What is the


area of the deck in terms of s?





Did I do this right or was I supposed to leave it as a trinomial?

Answers

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]

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