a fisherman floats 58ft. out from the shore. he notices a bird in the sky directly above the shoreline. if the angle of elevation from the fisherman to the bird is 23 degrees, how far is the fisherman from the bird.

Answers

Answer 1

Answer:

63 ft

Step-by-step explanation:

We solve this question using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

From the question:

θ = 23°

Adjacent = The distance of the fisherman from shore = 58 ft

Hypotenuse = The distance of the fisherman from the bird = x ft

Hence:

Cos 23 = 58/x

Cross Multiply

Cos 23 × x = 58

x = 58/Cos 23

x = 63.00890189 ft

Approximately = 63 ft

The distance of the fisherman from the bird is 63 ft


Related Questions

Find the value of each expression
-22-(-5)

Answers

Answer:

-17

Step-by-step explanation:

-22-(-5) = -22+5 = -17

Answer:

the answer is -17

Step-by-step explanation:

-22-(5)-22+5=-17

solve the question below

Answers

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

Find x.
20 cm
12 cm
Х
X =
cm

Answers

use pythagorean therom, so A^2 would be 12 since it’s the same lengths the square sides, and C^2 is 20. X= 16

5(m + 4) = -2(-4 - m) + 3

Answers

Answer:

m=-3

Step-by-step explanation:

Answer:

m= -3

Step-by-step explanation:

At soccer practice, Tracey's best kick traveled a distance of 1,200 inches. For how many yards did she kick the ball? Express your answer as a
fraction written in simplest form.

Answers

Answer:

100/3 yards

Step-by-step explanation:

36 inches=1 yard, so 1200/36 will equal how many yards 1200 inches is.

Simplify:

1200/36

divide numerator and denominator by 12 and you get 100/3

100/3 yards

Tracey kicks the ball for 100/3 yards.

Given that, at soccer practice, Tracey's best kick travelled a distance of 1,200 inches.

We need to find out for how many yards did she kick the ball.

How to convert inches to yards?

Inch-to-yard conversion explanation

So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.

Now, the number of yards =1200/36=100/3

Hence, Tracey kicks the ball for 100/3 yards.

To learn more about the yards visit:

https://brainly.com/question/28365360.

#SPJ2

it cost Naomi $7.70 to send 154 text messages how many text messages did she send if she spent $5.25

Answers

Answer:

105 text messages

Step-by-step explanation:

7.70 divied by 154 = 0.05

0.05 per text massage

5.25 divided by 0.05 = 105

to check work:

105 times 0.05 = 5.25

Answer:

The answer to your question is 105 i had the same problem as you

What is 2 2/3 plus 3 2/3

Answers

6 1/3 hope this helps

Answer:

6 1/3

Step-by-step explanation:

Add numbers 2 +3 then 2 + 2 then then both

Denominators are the same so it stay 3 next you have 5 + 4/3 Convert the improper fraction into a mixed number 5 + 1 1/3 Write the mixed number as a sum of the whole number and the fractional part 5 + 1 + 1/3 Add the numbers 6 1/3

pls help me no one is answering my questions T_T

Answers

Step by step explanation:

Circle numbers - 545 and 110 , 53

Underline - question - How much did they make on Tuesday?

Box - key words How Much

Evaluate and draw 545/110 = 5.95 per burger, so then you would multiply 53 x 5.95

Solve and check 53 x 5.95 = _______ your answer

The trailer of a semi-truck is 45 ft by 28 ft by 28 ft. Trailer wants to transport boxes that are 4 ft by 4 ft by 2 ft. How many boxes can fit in the truck at the same time?

Answers

1102 boxes can fit in the truck

Simplify. Express your answer using a single exponent.
(2m3)4

Answers

Answer:

16m^12

Step-by-step explanation

help me pls due in 5 mins​

Answers

Answer: [tex]215\ cm^2[/tex]

Step-by-step explanation:

Given

Here the given figure can be divided into two shapes i.e. rectangle and a trapezium

For rectangle ABCD Area = [tex]10\times8=80\ cm^2[/tex]

Area of trapezium CEFD Area is [tex]\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}][/tex]

[tex]\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2[/tex]

Total shaded area [tex]=80+135=215\ cm^2[/tex]

Devante has a lunch account in the school cafeteria His starting balance at the beginning of the month is $35.50. The first wook, Davante bought 3 lunches and his account balance was $28.00. The second week. Devante

bought 5 lunches and his account balance was 515 50

In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?


A: the number of lunches he purchases


B: the starting balance of his lunch account


C: the amount of money in his lunch account


D: the amount of money he pays for each lunch

Answers

Answer:

D the amount of money he pays for each lunch

Step-by-step explanation:

In each lunch Devante has, he pays 2,50 $ according to:

Money in t = t₀     he has  35,50 $      paid 3 lunches and spent

35,50 - 28  =  7,5

Then the cost of each lunch is    7,5 / 3   =  2,5 $

After that

bought    5 lunches and spent   28  - 15,5  = 12,50

Again    12,5 / 5   =  2,5 $

Now the model for the situation is a straight line with a slope 2,5

In an  x , y cartesian system in which  y is money in the account  and x is the number of lunches, such a straight line will be

y  =  b  -  m*x      ( b the intercept on y  and  m the negative slope)

y  =  35,50 - 2,5*x

So  answering the question is lyrics  D  the amount of money he pays for each lunch

Francine has a collection of 25 dolls. If 12% of the dolls are Monster High dolls, how many of the dolls are not Monster High Explain your answer?​

Answers

9514 1404 393

Answer:

  22

Step-by-step explanation:

The number of Monster High dolls is ...

  12% × 25 = 3 . . . dolls

The others are not Monster High dolls. Their number is ...

  25 -3 = 22 . . . not Monster High dolls

2. (- 6x + 3) + (x - 7)​

Answers

Answer:

-5x-4

Step-by-step explanation:

You first have to combine like terms. (-6x + x) + (+3 -7) = -5x-4

Answer:

-6x^2+45x-21

Step-by-step explanation:

So use the FOIL method

First- -6x*x

Outter- -6x*-7

Inner- 3*x

last- 3*-7

here is the screenshot for anyone who is willing to help me

Answers

Answer:

1. 6,000

2. 7,000-4,000=3,000

3. 0

4. 15

5, 6/8 7/8

6. greater than

7. equal to

8. 520,685

9. the 5

10a. 3210

10b. 2346

--------------------

1. 7,000

2. all of them

3. two

4. 3

5. 2

6. b

7a. 3 b. 2

8. 14/30

9. 3/8

10. N=175

Step-by-step explanation:

Multiply f and 7. Then, add 10. can u put this in number form please

Answers

Answer:

f x 7 + 10

Step-by-step explanation:

When it says multiply f and 7 and add 10 that does not mean solve but for instance lets say the letter f is 5 so it would be 5 x 7 + 10

f(7) + 10 I think I did it right but I’m not sure, person above could be correct, but I’m pretty sure this is how u put it in number form.

y = x² - 6x +9 discriminant​

Answers

Answer:

discriminant equals zero

Step-by-step explanation:

b² - 4ac  where a = 1, b = -6, and c = 9

(-6)² - 4(1)(9)  =  36 - 36

What is the solution for x divided by 9>4

Answers

Answer:

x>36

Step-by-step explanation:

Multiply 4 by 9 to get x>36

look at picture and answer pls!

Answers

1. V
2. T
3. (-5, 5.5)

In recent years, Japan's population has been declining at a rate of 0.1% per year. If you were to write an exponential equation representing the situation, what would the decay factor be?


A- .999


B- 0.99


C- .91


D- 1.001

Answers

The answer is B I think

the decay factor for the given decay rate is 0.999

Given :

In recent years, Japan's population has been declining at a rate of 0.1% per year.

we need to find the decay factor for the given exponential rate.

The rate of decay is 0.1%. To remove percentage we divide by 100

so , [tex]\frac{0.1}{100}=0.001[/tex]

The decay rate is 0.001

To find out decay factor , we subtract decay rate from 1

decay factor is 1- decay rate

Decay factor is 1-0.001=0.999

So the decay factor for the given decay rate is 0.999

Learn more :  brainly.com/question/20065566

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?

O A. c = 1.35n + 15
O B. n = 1.35n + 15
O C. c = 16.35n
O D. n = 16.35c

Answers

Answer: A. c = 1.35n + 15

Step-by-step explanation:

Given: Charge for each job = $15

Additional cost per poster = $ 1.35

Total cost = Charge for each job + (Additional cost per poster) (Number of posters)     ...(i)

Varaibles:

c= Tota; cost for n posters.

Substitute all values in (i), we get

[tex]c=15+1.35n[/tex]

Hence, the required equation : c = 1.35n + 15

Hence, the correct option is A. c = 1.35n + 15.

The U-Pick-It Farm wants to find out which type of berries their customers
prefer to pick.
Determine which of the following would result in an unbiased sample set.
Customers who are picking blueberries
Customers who have not started picking berries
Customers who are picking raspberries
Customers who are picking strawberries

Answers

Answer:

Customers who have not started picking berries

Step-by-step explanation:

this is becuase the costomers have not started so there is not an assumption yet. If they are picking blueberries, raspberries, or strawberries you already know what they prefer to pick.

v²=u²+2as make u as the subject

Answers

Answer:

u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v²  - 2as = u²

take the square - root of both sides of the equation;

[tex]\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }[/tex]

Thus, u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Rectangle A has side length of 6 cm and 3.5 cm. The side lengths of rectangle Bare proportional to the sides of rectangle A What could be the side lengths of rectangle B?​

Answers

Answer:

hindi ko po alam ang sagot sorry po

Answer:

3 cm and 1.75 cm

or

5.25 cm and 9 cm

Step-by-step explanation:

Order the numbers from least to greatest

Answers

Answer:

1. sqrt of 7, sqrt of 22, 5

2. 2, sqrt 8, 3, sqrt 10

3. 2.5, sqrt 9, pi

4. pi, sqrt 10, 3.5

Step-by-step explanation:

Find the slope (or grade) of the treadmill shown.

The grade of the treadmill is___%

Answers

Answer:

grade=15%

Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

grade=m x 100

grade=15%

please answer this :) Fifteen out of 25 in Ms. Taylor's class are girls. In the simplest form, what fraction of the class are girls?

Answers

Answer:

3/5

Step-by-step explanation:

15 and 25 go into 5 so you divide 15 by 5 that's 3 and 25 by 5 which is 5

BIG COW LITTLE COW FAT COW ADORABLE COW
BIG RAT LITTLE RAT FAT RAT ADORABLE RAT
BIG CAT LITTLE CAT FAT CAT ADORABLE CAT

Answers

ahh that’s very very very very swag

Answer:

BIG DOG LITTLE DOG FAT DOG ADORABLE DOG

BIG LLAMA LITTLE LLAMA FAT LLAMA ADORABLE LLAMA

BIG ELEPHANT LITTLE ELEPHANT FAT ELEPHANT ADORABLE ELEPHANT

The dot plot represents an order of varying shirt sizes.

A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10. 3 dots are above 12. 3 dots are above 14. 5 dots are above 16. 4 dots are above 18. 2 dots are above 20. 1 dot is above 22. 1 dot is above 24. 0 dots are above 26.

Which histogram represents the same data?

A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 11 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 8 shirts are size 14 to 16. 6 shirts are size 18 to 20. 2 shirts are size 22 to 24.
A number line going from 1 to 13. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 0 dots are above 4. 0 dots are above 5. 0 dots are above 6. 2 dots are above 7. 3 dots are above 8. 0 dots are above 9. 0 dots are above 10. 4 dots are above 11. 3. dots are above 12. 0 dots are above 13.

Answers

The histogram that represents the same data as those represented by the dot plot is: third graph.

What are Dot Plots?

Dot plots involves the use of dots to represent each data point in a given data distribution.

The data represented by the third histogram perfectly represents the data in the dot plots because the frequency of each group represented by the bins in the histogram tallies with those we have that are represented by each dot in the dot plot.

Therefore, the histogram that represents the same data as those represented by the dot plot is: third graph.

Learn more about dot plots on:

https://brainly.com/question/25957672

The table and graph shows the height and weight of 10 basketball players. Which statement is true

Answers

Answer:

"a 72 inch player would probably weigh about 160 pounds"

Step-by-step explanation:

Other Questions
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Examine how white people and black people regard each other in "No Witchcraft for Sale," "The Moment Before the Gun Went Off," and "The Prisoner Who Wore Glasses." How do they help to both teach and support each other, and how do they fail? Think about what each group is trying to protect and when it withholds something from the other.Prompt III. A theme that runs through the poems in this unit is that a sense of pride is important to a sense of self-worth. What do you think is the connection between this theme and Africa's history of colonial rule? Support your view with details from at least two of the selections you have read. How many eyes fit across the average adults head? Where would you place the eyes when drawing a portrait? 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