The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

Answer 1

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Answer 2

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

The Radar On A Ship Picks Up Two Shipwrecks, A And B, 2.5 Miles Beneath The Surface. The Distance Between

Related Questions

Hi hope your having a good day please answer this

17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.

A. similar figures

B. scale factor

C. scale

D. congruent figures

Answers

Answer:

Step-by-step explanation:

the answer is A because it’s not the same size but it’s the same shape which means it’s a similar figure

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t

Answers

Answer:

Step-by-step explanation:

Have a good day!

what is the next 3 terms for (-6,42,-294,2058)

Answers

Answer:

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

another way to write 2 5/2×4

Answers

Answer:

4 1/2(4)

Step-by-step explanation:

djjdiebjeidjjexjjebej

Pleaseee help me with my math show work please I need the work

Answers

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

3xsquared +13x-10

HELPP PLEASE

Answers

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

what is the constant of proportionality of p=5a

Answers

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

evaluate this
| 5+-3-2 |

Answers

Answer:

0 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

5+-3= -2

-2-2=0

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

What’s 19,975 divided by 25 show your work

Answers

the answer to the question is 799

12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S

Answers

Answer:

576.97

Squared

55 = 18 +0.004x
What is x

Answers

55=18+0.004x
37=0.004x
9250=x

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.

•What is the y-intercept

Answers

Answer:

y=50

Step-by-step explanation:

25(0)+15y=750

0+15y=750

15y=750

y=50

Can someone please help me asap I’ll mark brainlist!!!!!

Answers

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

What is the equation of the line?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

If the perimeter of the regular pentagon is 75 cm what is the length of each side

Plz help nowww

If you wanna be crowed a brainliest:-)

Answers

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.

A. On which day did Elsa reach farther: the second or third day?

B. By how much?

Answers

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

Other Questions

00:00 Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.Part AIf Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.$ 00:00 Part BHow much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.$ What is the product of Na +CaSO4, Can someone please help me asap Ill mark brainlist!!!!! If a company purchases equipment costing $4,500 on credit, the effect on the accounting equation would be: Multiple Choice Assets increase $4,500 and liabilities decrease $4,500. One asset increases $4,500 and another asset decreases $4,500. Equity decreases $4,500 and liabilities increase $4,500. Equity increases $4,500 and liabilities decrease $4,500. Assets increase $4,500 and liabilities increase $4,500. Write an expression to represent the submarines elevation after its final dive. Then simplify the expression to find its elevation. Which type of economy is used by the United States? HELPPPPPPPPP is the present value of these cash flows? (Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).) Present value Investment X $ Investment Y $ (b) Which of these cash flow streams has the higher present value at 5 percent? (Click to select) Requirement 2: (a) If the discount rate is 23 percent, what is the present value of these cash flows? (Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).) Present value Investment X $ Investment Y $ (b) Which of these cash flow streams has the higher present value at 23 percent? another way to write 2 5/24 1) Mettez au singulier les noms suivants (Punei la singular substantivele urmtoare): - Des globules (globule) : un globule (o globul) - Des automobiles : une automobile - Des aventures : une aventure - Des fins (capete, finaluri): une fin - Des tlgrammes : un tlgramme - Des institutions :_________________ - Des mteorites :_________________ - Des ptales :___________________ - Des rivages : _____________________ - Des richards :__________________________ Hurry pls I will give you the brainliest. What advantages did Nubia's location provide? Choose four correct answers.good weather for farminglocation next to the oceanmany natural resourcesstrong defenses from invadersaccess to different trade routeslocation on a calm area of the Nile Why does the Fourteenth Amendment start witha definition of a citizen? What ways was the egyptian religion similar to religion practiced in Mesopotamia? If b^2 = 25 then b= Answer it please The Magna Carta would put England in the long road to establishing a lawmaking body. What is this lawmaking body or legislature called? Is it true or false that the displacement always equals the product of the average velocity and the time interval? Read this passage from Dragonwings by Laurence Yep.The demon was a big, cheerful-looking demon with a bland, round face. He eyed father. "I dunno, John." Many demons called Tang men John because, they insisted, they never could get the hang of our real names. "You know anything about horselesses?""Some," Father said. Truth to tell, he had never handled a horseless carriage in his life, though he had a book on them and cut out articles whenever they appeared in the demon magazines and newspapers. That was the extent of Father's knowledge. But to know facts is nothing. He had an intuitive feeling for what made the horseless carriages tick. He looked around inside the engine for about ten minutes and then wiped his face absentmindedly, so that the grease stained his cheek. He did not even notice.Which quote from this passage is an example of indirect characterization?The demon was a big, cheerful-looking demon with a bland, round face.Many demons called Tang men John because, they insisted, they never could get the hang of our real names.He had an intuitive feeling for what made the horseless carriages tick.He looked around inside the engine for about ten minutes and then wiped his face absentmindedly, so that the grease stained his cheek. The poem moved. Please need help 67Name_Michael Goodger Lesson 4 Homework1.Convert and write an equation with an exponent.A. 2 meters to centimeters2m = 200 cm2 x 10 = 200B. 108 centimeters to meters 108 cm = 1 m1.08% 101=108C. 2.49 meters to centimeters 2.49 m = 249cm2.49x 103= 249D. 50 centimeters to meters 50 cm = 1 m50x1=50E 6.3 meters to centimeters 6.3 m = 63 cm6.3x63=63F 7 centimeters to meters Icm = _mIn the space below, list the letters of the problems where smaller units are converted to larger units.2. Convert using an equation with an exponent. Use your meter strip when it helps you.a. 4 meters to millimetersmmb. 1.7 meters to millimetersmm1050 millimetornm =m = Whats 19,975 divided by 25 show your work A government may create and regulate natural monopolies because: