A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water is 19 degress. What is the distance between the boat and the shark?

Answers

Answer 1

Answer:

81.3 feet

Step-by-step explanation:

A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water is 19 degrees What is the distance between the boat and the shark?

We solve the above question using Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle of depression = 19°

Distance between the boat and the shark = Adjacent = ? = x

Opposite = 28 feet

Hence:

tan 19 = 28/x

Cross Multiply

tan 19 × x = 28

x = 28/tan 19

x = 81.317904575 feet

Approximately = 81.3 feet

The distance between the boat and the shark is 81.3 feet


Related Questions

Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?

Answers

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?

Answers

10 slices will cost 10 dollars

What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11

Answers

Answer:

c

Step-by-step explanation:

3) Slope = 4, passing through (-1,5)
Slope

Answers

be more specific boo xxo
4x +y-21=o
explanation using point grade formula y
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y

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)
=

4
(
x

4
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y

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=

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21
=
0

Amy owns 3 1/3 acres of farmland. She grows beets on 1/6 of the land. On how many acres
of land does Amy grow beets?
Plz

Answers

Answer:

5/9 acres

Step-by-step explanation:

3 1/3 areas is 10/3

1/6 of the land is covered with beets

[tex]\frac{10}{3} * \frac{1}{6} =\frac{10}{18}[/tex]

[tex]\frac{10}{18}[/tex] will simplify to [tex]\frac{5}{9}[/tex]

Hence the answer is 5/9 acres

in direct variation, how are the constant of variation and the slope related?​

Answers

The constant of variation and the slope are equal to each other.

What is the value of y?
E
(3y + 4) (5y-10)
A.)7
B.)5.5
C.)1.75
D.)6

Answers

Answer:

7

Step-by-step explanation:

3*7+4=25

5*7-10=25

In January the students in a class red 72 books in February they read 56 books what is the approximate percentage decrease in the number of books read from January to February

Answers

Answer: -12.5%

72 + 56 = 128

72 x / 128 x 100 = 56.25

56 / 128 x 100 = 43.75

43.75 - 56.25 = - 12.5

how do i give brainliest if you tell me i will give you brainliest!!! also please give me the answer to the question!

Answers

For your question the answer would be DK

Answer:

DK

Also to give brainliest, two people will have to answer ur question

There will be an option i think because i never asked a question, so i dont know

You click the brain or crown on the top right of the answer.

Step-by-step explanation:

what is 15%of8700 please give the right answer

Answers

15% becomes 0.15
multiply it by 8700
0.15x8700=1305

Step-by-step explanation:

8700x.15 is 1,305. that is your answer

Megan has $500 in her savings account. The interest rate is 7%, which is not
compounded. How much money(in dollars) will she have in her account after 5
years? Write the correct answer.

Answers

Answer:

500/7=intrest rate/account savings=_________

Step-by-step explanation:

What is the length of one side of a cube that has a surface area of 1,734 square mm?

Answers

Answer:

a = 17

Step-by-step explanation:

1,734 = 6a^2

1,734/6 = 6a^2/6

[tex]\sqrt{289}[/tex] = [tex]\sqrt{a^2}[/tex]

a = 17

Answer:

side = 17 mm

Step-by-step explanation:

1734/6 = 289

√289 = 17 mm

Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have

Answers

Answer: $60

Step-by-step explanation:

Find the length of the third side of each triangle.
HELP PLEASE

Answers

Answer:

96 because it's the same length but just slanted

Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.

Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.​

Answers

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Ed should bike 16 miles

Mr. Gibbs bought number of shirts for the new members of his band. The cost for number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. How many shirts did Mr. Gibbs buy?

Answers

Answer:

Number of shirts= 6

Step-by-step explanation:

Giving the following information:

The cost for several shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.

First, we need to calculate the net total price paid  for the shirts:

Net total cost= 77.49 - 3.99= $73.5

Now, the number of shirts bought:

Number of shirts= 73.5 / 12.25

Number of shirts= 6

A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?​

Answers

Answer:

12

Step-by-step explanation:

5+4+3 = 12

Answer:

12 is the total outcome.......

Step-by-step explanation:

3+4+5=12 is the ans.....

hope this will help u.....

Use substitution to solve the following system of equations.
x + 2y = 13
3x - 5y = 6

Answers

Answer:

{1} x + 2y = 13

{2} 3x - 5y = 6

x = 13 - 2y

substituting into {2}

3x -5y = 6

3( 13 - 2y) - 5y = 6

39 - 6y -5y = 6

-11y = 6 -39

y = -33 /-11

 ( minus and minus cuts in fraction, so the answer will come in positive)

y = 3

now , substituting into {1}

x + 2(3) = 13

x = 13 -6

x = 7

so,

the solution are:-

x = 7

y = 3

I hope this helps a little bit.

in the figure what is the value of x​

Answers

Option B is the 100% right answer

Answer:

6√2 is your answer

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=6/x

x=6/sin45=6√2

30% of what number is 7.5?

Answers

Answer should be 2.25

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5

Answers

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]

[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]

[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+4}[/tex]

[tex]r=\sqrt{13}[/tex]

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].

[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]

[tex](x+2)^2+(y-1)^2=13[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].

Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Answers

Answer:

y = 3(x - 2)² - 5

Step-by-step explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5

7.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.


Time (hours)
4
6
8
10
Distance (miles)
212
318
424
530

A. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.

B. [tex]\frac{53}{1}[/tex]; Your car travels 53 miles every 1 hour.

C. 212; Your car travels 212 miles.

D. 10; Your car travels for 10 hours.

Answers

Answer:

The answer is A) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

B)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= .

rate  of  change= .

rate of change =  53.

rate  of  change= .

rate of change =  53

rate of change =  .

rate of change =  53.

rate of change =    .

rate of change =  53.

Therefore, B)  rate of change is 53, your car travels 53 miles every 1 hour .

Answer: A

Step-by-step explanation:

can someone helppp??

Answers

Step-by-step explanation:

bhai question to bahut hi tough hai yaar Kaise Banegi use to nahin Hogi yah Mujhe brand list Mar kar dena but ok

I really need help with the radius,diameter and area off circles and halfcircles

Answers

Answer:

Radius refers to the distance between the center of the circle to any point of the circle

Diameter refers to the distance between any two points on the circle passing through the center of circle, it is also equal to radiusx2

Area of circle = πr², where π is a constant (≈3.14159), r is the radius

Halfcircles is basically half of the circle. It has the same radius and diameter as it's full circle but the area of the halfcircle is equal to half of the area of the full circle.

Step-by-step explanation:

Would the answer be 550.25?

Answers

Answer:

44

Step-by-step explanation:

she set aside $44 for vacation

pls brainliest btw

Write a decimal and a fraction for the shaded part of the diagram.

A. 0.60; 160/100

B. 0.63; 163/100

C. 1.60; 160/100

D. 1.63; 1 63/100

Answers

The correct answer is
D. 1.63; 1 63/100
D. 1.63; 163/100 hope this helps

Solve for x.parallelogram
Plz show steps so I can learn

Answers

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

what is 4/7 + 1/8 in math

Answers

correct answer is 39/56

Someone please please..help me I don’t want to fail this..

Answers

Step-by-step explanation:

hope it helps you........

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