a shark is located 45 feet directly below a swimmer on the surface of the water. the angle of depression from a boat nearby to the shark is 64 degrees. how far is the swimmer from the boat​

Answers

Answer 1

Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.

What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.

In this problem:

A shark is located 45 feet directly below a swimmer on the surface of the water, hence the vertical change is 45.The distance d is the horizontal change, which we want to find.The angle is of 64º.

Hence:

[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]

[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]

[tex]d = 21.95[/tex]

The swimmer is 21.95 feet from the boat.

You can learn more about the slope concept at https://brainly.com/question/26342863


Related Questions

Please select the best answer from the choices provided​

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Answer:

its 60

Step-by-step explanation:

go0gle

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!

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i just want some friends

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Find the area of the regular polygon

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Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

Geometry Need Help. I will give brainliest

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Answer:

9

Step-by-step explanation:

Please help ASAP
I’ll mark Brainliest
What’s the total and lateral surface area for the figure?

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Answer:

The total is 20 and the lateral surface is 1008 I think

If n = 5, which of the following is not equivalent to 24?​

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Answer:

there is no picture?

Step-by-step explanation:

Where is 5/4 on a number line

Answers

Answer:

1/4 of a space after 1.

Hope that helps!

Step-by-step explanation:

1/4 or 0.25 spaces after 1

Consider the diagram. What is the value of n?

Answers

Answer:

BRAINLIEST??!!

Step-by-step explanation:

Answer: n=46

Step-by-step explanation: Both equations add up to 180 degrees, do inverse operations until you only have n on one side.

A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long

Answers

Answer:

18 and 90

Step-by-step explanation:

If we express in units,

Long piece has 5 units

Short piece has 1 unit

total 6 units

108/6 = 18 inch

which is the length of 1 unit

short = 18 * 1

long = 18 *5

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 12.
The probability of rolling a number greater than 12 is
(Type an integer or a simplified fraction.)

Answers

Answer:

[tex]P(x>12) = 0[/tex]

Step-by-step explanation:

Given

[tex]x = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex] --- outcomes

[tex]n(x) = 12[/tex] -- sample size

Required

[tex]P(x > 12)[/tex]

This is calculated as:

[tex]P(x > 12) = \frac{n(x > 12)}{n(x)}[/tex]

[tex]n(x>12) = 0[/tex] because none of the outcomes is greater than 12:

So:

[tex]P(x > 12) =\frac{0}{12}[/tex]

[tex]P(x>12) = 0[/tex]

i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly

Answers

Answer:

From least to greatest it is:

3.441, 4 4/9, 89/20, 4.93

If 4x + b = 12, then x is equal to:

Answers

Answer:

4x + 12 = 24

Subtract 12 to both sides

4x + 12 - 12 = 24 - 12

4x = 12

Divide 4 to both sides

4x ÷ 4 = 12 ÷ 4

x = 3

Step-by-step explanation:

14) Find the slope of the line that goes through the points (2,-5) and (3,-2).

Answers

Answer:

3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(3-2)

m=(-2+5)/1

m=3/1

m=3

I got 30 will someone double check me please.

Answers

That’s the correct answer

Answer:

yeah its 30

hdkqksbdkwlqmvwksl

ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)

Answers

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

Please help on this question

Answers

The perimeter would be 48 feet

WILL MAKE BRAINLIEST! ANSWER AND ILY

what are the slopes of each line?

Answers

Answer:

Top left is A

Top right is B

Bottom left is D

Bottom right is A

Step-by-step explanation:

Answers:
7.) A. Undefined
8.) B. 0
9.) D. -1/2
10.) A. -2/5

Help I don't understand this question at all

Answers

Answer:

(6)(5)(4) = 120

Step-by-step explanation:

For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have

6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Here is another way to picture it:

In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F

1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite

2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite

3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite

As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!

Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Express the given statement in the form of expression.

​5 subtracted from three times any number.

Answers

5-3(x)
Five minutes three is spare time, yet the “times any number” simply means to assign the unknown the variable of “x”.

there are 144 microscopes in boxes at a school. each box has 24 microscopes which equation could be used to find b, the number of boxes of microscopes at this school

A. 24+144= b
B. 144-b= 24
C. B divided by 24= 144
D. 24 x b= 144

Answers

D ...................

what is the next number in sequence -2, 10 -50, 250

Answers

Answer:

2×5=10

10×5=50

50×5=250

250×5=1250

your next Number = -1250

hope It helps

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Which number line represents the solution of 5X < 30

Answers

Answer:

Step-by-step explanation:

Answer:

BRO, where are the number lines, can't help you if you dont put the number lines

How would you explain 0 (prime and composite wise)?

Answers

Answer: 0 = NOTHING

Step-by-step explanation:

which statement is true?​

Answers

Which statement is true will the the first one

A shipment of tile cost $64,500.
Each tile costs 15 dollars.
How many pieces of tile are in the shipment?


A.430
B.1,290
C.4,300
D.8,600

Answers

Answer:

The answer is C. 4,300

Answer explanation :

Answer: C. 4,300

Steps:

64,500 / 15 = 4,300

Check:

15 * 4,300 = 64,500

64,500 = 64,500 ✅

I would appreciate the brainliest if this was helpful and correct! :)

Here is a weather thermometer. Three of the numbers have been left off.
What numbers go in the boxes?

Answers

Answer:

Step-by-step explanation:

Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?

Answers

Answer:

36:64

Step-by-step explanation:

its simple just divde 36

Sally has 15 quarts of milk. One quart is equal to 1/4 of a gallon. How many gallons of milk does Sally have?

Answers

Answer:

3.75 or 3 and 3/4

Step-by-step explanation:

you do 15/4

Justine took samples of the numbers of points scored by two football teams during their games. The data for the samples are shown below.
Cougars: 13, 21, 3, 9, 7, 10, 28, 21
Hawks: 28, 10, 16, 17, 28, 20, 14, 35
How much greater is the mean number of points scored by the Hawks than the mean number of points scored by the Cougars?

Answers

Cougars mean=14
Hawks mean=21
Hawks have a greater average the average is greater by 7 points

5x^2+ 15x – 140 = 0
Solve for x

Answers

Answer:

x = 4, -7

Step-by-step explanation:

1) Factor out the common term 5.

[tex]5( {x}^{2} + 3x - 28) = 0[/tex]

2) Factor x² + 3x - 28.

[tex]5(x - 4)(x + 7) = 0[/tex]

3) Solve for x.

x = 4, -7

Therefor, the answer is x = 4, -7.

Answer:

x = 4, -7

Step-by-step explanation:

1. Solve the equation using the quadratic formula

The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]

in which A, B, and C are numbers (or coefficients), as follows:

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

2. Determine the quadratic equation’s coefficients A, B, and C

The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:

A = 5

B = 15

C = -140

3. Plug these coefficients into the quadratic formula

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

Calculate the expression inside the parentheses.

Simplify exponents and square roots.

[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]

Perform any multiplication or division, from left to right.

[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{10}[/tex]

to get the result:

[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]

4. Simplify square root

Simplify 3025 by finding its prime factors.

                    3025

                   /         \

                 /             \

             5                  605

              /                    \

            /                        \

          5                          "121"

           /                            \

         /                                \

        11                                11

The prime factorization of 3025 is 5² • 11²

Write the prime factors.

[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11

Group the prime factors into pairs and rewrite in exponent form.

√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]

Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.

[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11

5 • 11 = 55

5. Solve the equation for x

x = [tex]\frac{-15+55}{10}[/tex]

The ± means two answers are possible:

x = 4

or

x = - 7

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