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

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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

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Answers

55=18+0.004x
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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 : )

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

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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:

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?
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Answers

Answer:

Step-by-step explanation:

Have a good day!

what is the constant of proportionality of p=5a

Answers

Answer:

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Step-by-step explanation:

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

3xsquared +13x-10

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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

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Use these factors to split the x- term

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

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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))

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

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20 + 2x = 6 + 3x

14 = x

12. ROS
CALCULATE THE ARC
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180
63 11
IQ
S

Answers

Answer:

576.97

Squared

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! :))))

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

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the answer to the question is 799

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Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
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Answers

Answer:

y=50

Step-by-step explanation:

25(0)+15y=750

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Answer:

0 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Step-by-step explanation:

djjdiebjeidjjexjjebej

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

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.

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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

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