As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?

Answers

Answer 1

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]

Therefore, we have;

[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]

[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]

[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]

Therefore;

The distance from the ship to the dock ≈ 5.24 miles


Related Questions

Find the area of the following figure.
18 cm
9 cm
10 cm
12 cm

Answers

I can solve it for you but there is no picture for me to see it.

A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?

Answers

Answer:

The monthly service charge

Step-by-step explanation:.

How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.

A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.

Answers

Answer:

I don't know

Ich bin fett

I'm just a fat boy watching ph once a month

Step-by-step explanation:

bobo Ampt

97/83 / 8
107
68 = [?]
Enter

Answers

Answer: Please rewrite your question or send a pic. It is not clear what you are asking.

Step-by-step explanation:

Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7

Answers

(5x + 2) + (4x + 5)

= 5x + 2 + 4x + 5

= 5x + 4x + 5 + 2

= 9x + 7

WILL GIVE BRAINLST

hAVE A GOOD DAY

Answers

Answer:

4/25 and >

Step-by-step explanation:

Today, everything at a store is on sale. The store offers a 20% discount.

If the regular price of an item is x dollars, what is the discount price in dollars?

0.8x or x-0.2x
0.9x
0.7x
0.6​

Answers

Answer:

0.8x or 0.2x

Step-by-step explanation:

20% of x = 20/100 × x = 0.2x

So discount price = x - 0.2x = 0.8x

Answer:

A =greatest amount

Step-by-step explanation:

Find the missing number in each sequence.

40, ___ , 37 1/3 , 36

Answers

The common difference is 1 1/3
40-1 1/3= 38 2/3
38 2/3-1 1/3=37 1/3
37 1/3-1 1/3=36
Therefore the missing number is 38 2/3
Missing number is 38 2/3 trust me :) and if you want me to explain Lmk:)

Plzzz help. Giving everything.

Answers

Answer:

d. 260. is the answer.

Answer is, 260 degrees (D)

A semicircle with diameter 3.5m. Find the perimeter if the semicircle. Take pi = 3.14

Answers

Step-by-step explanation:

perimeter is (pi×diameter)/2

perimeter =(3.14×3.5)/2

perimeter =5.49m

what's 2+2
spent 1 hr 9 mins on this question so far, literally shaking and crying rn, will give first answer brainliest, no need for explanation as that would take too long

Answers

4

pls ik this is a joke but i swear

Find The Value of X in the picture I showed. ​

Answers

Answer:

x = 4

Step-by-step explanation:

You can do this by realizing that since JG is the diameter then 6 + 11x + 22x - 1 must equal 180 minus 43 because that is the measure of HG. So then just set it up like an algebra equation.

137 = 6 + 11x + 22x - 1

137 = 33x + 5

132 = 33x

x = 4

el producto de dos números pares positivos es cuatro veces el menor, más 48 ¿ cual es el producto?

Answers

Answer:

El número más pequeño es

6

Step-by-step explanation:

Deje que el número más pequeño sea

s

(

el número mayor es

s

+

2

)

s

(

s

+

2

)

=

48

s

2

+

2

s

-

48

=

0

(

s

-

6

)

(

s

+

8

)

=

0

s

=

6

o

s

=

-

8

A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing
plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98

Answers

Answer:

A

Step-by-step explanation:

Khan Academy

1. Is the following question a statistical question? " During which month did your family take a vacation?"

2. What is the statistical variable represented by the following question, and is it categorical or quantitative? "How many TV sets are owned by families?"

Answers

Problem 1

Answer: No, it is not a statistical question

Explanation:

This is because the question is directed at a specific family, your family in particular. If the surveyor is only asking one person, then there's no need for statistics since a sample isn't formed.

If the question is posed to many people taking a survey, then it would be statistical in nature. However, no further context or clarification is given, so I'll assume that the question is directed at one person, or one family, only. I think your teacher would say "During which month do families take vacation?" to be more general and involve statistics.

==============================================================

Problem 2

Answer: The statistical variable is the number of tv sets owned, and this variable is quantitative

Explanation:

The variable is what we want to figure out, and it's random in nature. Hence the name "random variable". It takes on nonnegative whole numbers 0,1,2,3,... so we can see the data set is discrete. The term "discrete" in math means that there aren't infinitely many numbers between two values. For example, if we pick 2 and 5, we can see the values 3,4 are between them and that's it. Contrast this with a continuous data set and there are infinitely many real numbers between 2 and 5 (eg: 2.78912 and 3.412)

While it might be tempting to think of a discrete number set as finite, that's not entirely true. We have infinitely many nonnegative whole numbers to work with. Though of course, there's a realistic limit that we arrive to and someone having 277 televisions is completely out of the ordinary, if not impossible.

The data variable "Number of TV sets owned" is not only discrete, but it's also ordinal, interval and ratio data as well. Here's a breakdown of what I mean

Ordinal = The data values 0,1,2,3,... can be ordered and it makes sense to do so. Usually the order is from smallest to largest.Interval = Gaps between any two values make sense. So going back to 2 and 5, the gap here is 3. Meaning that if family A has 2 tvs and family B has 5 tvs, then we can say that family B has 3 more tvs compared to family A. Such a statement is valid which means interval data applies.Ratio = Not only can we subtract, but we can also divide. If family A has 2 tvs and family B has 6 tvs, then we can see that the second family has 6/2 = 3 times as many televisions compared to the first family. Again, you have to ask if such a statement makes sense for this type of data to apply.

Since we have many terms apply to this, it sometimes helps to pick just one and try to have it describe the others implicitly. So we go for ratio data since that encapsulates interval and ordinal data types as well. If something is ratio, then automatically it must be ordinal and interval. Division depends on the numbers being well ordered, and that gaps between values make sense and are consistent.

To recap, the data type is quantitative, discrete, and we have a ratio scale.

The variable "number of tv sets owned" is not categorical since the choices to pick from 0,1,2,3,... aren't names; instead they are numbers in which we can perform math operations on and have it make sense. So that's why we go for quantitative data instead of categorical. If it asked "what brand of TV are owned by families?", then the categories of the various brand names would be the answer choices, and lead to categorical data.

Side note: categorical data is always qualitative

Airport A is located on a coordinate plane at (-18, 14). Airport B is located at (8, 14). How far apart are the airports?

Answers

Answer:

26 units

Step-by-step explanation:

Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2[/tex]

Plug in the points:

d = [tex]\sqrt{(-18 - 8)^2 + (14 - 14)^2[/tex]

Simplify:

d = [tex]\sqrt{(-26^2 + (0)^2}[/tex]

d = [tex]\sqrt{676}[/tex]

d = 26

So, the airports are 26 units apart

Can someone help me with I’m lost

Answers

plug in what you are given from the table into the equation to find the missing value

1. 2x - 0 = 8
2x = 8
x = 4

2. 2x - -8 = 8
2x + 8 = 8
2x = 0
x = 0

3. 2(5) - y = 8
10 - y = 8
- y = -2
y = 2

4. 2(-3) - y = 8
-6 - y = 8
- y = 14
y = -14

10 ft 6ft 5ft 17.5 ft 5.5ft 5.5ft 19ft​

Answers

Answer:

17.5?

Step-by-step explanation:

Not sure what’s the question?

???!?!?!?!?!?!?!?!?!??!?!?!

Answers

Answer:

lol?????????????????"!?!?!?!?!?!?

Step-by-step explanation:

Answer:

SKSKSKSKSKSKSKSKSKSKSKSKSKS


Bree took a math test and scored 152 points which was 95% of the total possible points
on the test. What was the total number of possible points.

Answers

160 is the total possible points because 152 is 95% of 160
152 divided by 95 = 1.6 and 1.6 x 100 =160

Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help

Answers

40mL
20%= 1/5
10*5=50
Since 10 is 1/5 of 50 and the question is how much more, subtract it from 50 and you get 40.


Sorry if it’s hard to understand. I did it in my head and it’s hard to explain when you know how to do it lol.

Which best represents a sampling error?

Answers

Answer:

D because the people at the jazz festival must be biased toward jazz because they are at a jazz festival and must like jazz.

Brainliest please?

Write the phrase as an algebraic expression. n divided by 7

Answers

the answer is n/7 !!!

Answer:

n divided by 7 = n/7

Step-by-step explanation:

Please help~ I will mark best answer!!!
Write the slope-intercept form of the equation of the line through the given points.
6) through (2. 5) and ( 1.3)
1 5
A) y=-*
3 3
8 1
B) **
)
1
C)
8
3
3
5
1
D)
3

Answers

Answer: i THINK it might be c

Step-by-step explanation: dont hold me to it tho. its just a guess. typed all of the equations in desmos but none of them came out exact. sorry love

What is the approximate measure of angle T in the triangle below?
2.7 cm
3.9 cm
4.3 cm
[Not drawn to scale)

Answers

Answer:

Angle T = 79°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite U (u) = 2.7 cm

Side opposite S (s) = 3.9 cm

Side opposite T (t) = 4.3 cm

Angle T =?

The value of angle T can be obtained by using cosine rule as illustrated below:

t²= s² + u² – 2suCosT

4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T

18.49 = 15.21 + 7.29 – 21.06 × CosT

18.49 = 22.5 – 21.06 × CosT

Rearrange

21.06 × Cos T= 22.5 – 18.49

21.06 × Cos T = 4.01

Divide both side by 21.06

Cos T = 4.01 / 21.06

Cos T = 0.1904

Take the inverse of Cos

T = Cos¯¹ 0.1904

T = 79°

help with math:) 6th grade!!!

Answers

Answer:

yeah, its 64

Step-by-step explanation:

Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?

Answers

Answer:

$25

Step-by-step explanation:

she received$12 five times

12×5=60 ...(1)

she earned$5 two times for yard work

5×2=10....(2)

(1)+(2).... 60+10=70

Bought dog food and ticket

30+15=45

70-45=25

Answer $25 is what she is left with at the end of the month

Answer:

She would have 5 dollars left

Step-by-step explanation:

f(n) restul impartirii lui n la 3. Sa se stabileasca daca functia f este periodica

Answers

Answer:

jajajajjajajajjajajajjajajb mucho men

Step-by-step explanation:

f

f

f

HELP !!!!!!! PLEAZEEEEE

Answers

Answer:

x = 30 y = 70 z = 80

Step-by-step explanation:

A 95% confidence interval is found to be (28, 32). The sample standard
deviation is 7, and the sample size is 49. If you wanted a smaller interval,
what could you do?​

Answers

Answer:

b

Step-by-step explanation:

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