A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them that a direct (diagonal) path to the nearest landing area is 90,000 feet away. What is the angle of depression as they come in to land?

Answers

Answer 1

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]

[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]

[tex]$\sin \ \theta = \frac{2}{3}$[/tex]

[tex]$\sin \ \theta = 0.667$[/tex]

∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]

     = 41.83°

A UFO Is Coming In To Pick Up Some Test Subjects. Their Elevation Above The Ground Is 60,000 Feet. Their

Related Questions

In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible

Answers

Answer:

1,712,304 ways

Step-by-step explanation:

This problem bothers on combination

Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;

48C5 = 48!/(48-5)!5!

48C5 = 48!/43!5!

48C5 = 48×47×46×45×44×43!/43!5!

48C5 = 48×47×46×45×44/5!

48C5 = 205,476,480/120

48C5 = 1,712,304

Hence this can be done in 1,712,304ways

so it said to pick which statement is true about the measurements of angles ABC. so I said B, can someone check if this is correct please ​

Answers

Answer:

Its c.

Step-by-step explanation:

Because B is the smallest point on that picture.

BrainliesT?

Answer:

your answer is correct

Step-by-step explanation:

have A great day

The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?

Answers

Answer:

Wassss uppppp

Step-by-step explanation:

i dont know

Can you help me with this pls?

Answers

I can try one sec I can try to help you

I would need you to tell me the answers to each question (3 questions)

Answers

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

What is the slope and y intercept?

Answers

Answer:

slope: 1/2 Y Intercept: 25 (I'm just guessing by the coordinates (60,25)

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?

Answers

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:

Answers

first you have to make all the fractions have a common denominator to add them so since 3/16 is the largest denominator you have to convert the others to have the denominator of 16. 1/8 = 2/16. 1/4 = 4/16. so if you add the numerators that’s 3 + 2 + 4 = 9. so the answer would be 9/16, and this cannot be simplified so it is your final answer:)

I need help asap!! This is an i-ready lesson.

Answers

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)

Answers

Answer:

If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.

Step-by-step explanation:

The sum of four consecutive even integers is -892. Find the four numbers.

Answers

Divide by the amount of consecutive numbers (4 in this instance)

It will be within a small range of those numbers

ex. The sum of 3 consecutive even integers is 24.

24/3 =8

Now guess and check

4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10

6+8+10=24

Do roughly the same thing

All four consecutive even integers are;

-226 , -224 , -222 , -220

What is Integers?

An integers is a whole number which can be positive, negative or zero.

Given that;

Sum of four consecutive even integers is -892.

Let four consecutive even integers are;

2x , 2x + 2 , 2x + 4 and 2x + 6

Since, Sum of four consecutive even integers is -892.

Hence, We can formulate;

2x + 2x + 2 + 2x + 4 + 2x + 6 = -892

8x + 12 = -892

Subtract 12 both sides,

8x + 12 - 12 = -892 - 12

8x = -904

Divide by 8,

x = -904 / 8

x = - 113

So, All four even numbers are;

2x = 2 × -113 = -226

2x + 2 = -226 + 2 = -224

2x + 4 = -226 + 4 = -222

2x + 6 = -226 + 6 = -220

Thus, All four consecutive even integers are;

-226 , -224 , -222 , -220

Learn more about the integers visit:

https://brainly.com/question/929808

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The instructions are on the picture whoever answers this question will be the brainliest!!

Answers

Answer:

-3

3/2

Step-by-step explanation:

Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.

slope. Choose two points. For the sake of explainin, I am choosing

(-3,1)

and (0,3). That’s the y intercept!!

The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run

the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)

Rise= 3

run =2

Slope=rise/run=3/2

2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women

Answers

Answer:

15/28 are women

Step-by-step explanation:

2/7 + 1/4 + x = 100%

2/7+1/4= 15/28

9514 1404 393

Answer:

  13/28

Step-by-step explanation:

The fraction that are women is found by subtracting the given fractions from 1.

  1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28

The fraction that are women is 13/28.

Find the value of x.

Answers

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Но
How much does each bead necklace cost?
You can buy a 35-pound box of beads for $43.95.
A 35-pound box of beads contains 30 bags of 12
necklaces each.
Step 1: How many necklaces are in a box?

Answers

360 because you would do 30 bags x 12 necklaces

B, the correct answer is B

Please help me with this

Answers

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,

48 in

69 in

286 in

572 in?

Answers

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

PLEASE HELP ME ANYONE

Answers

i believe it’s (0,4) since it’s asking for vertex.

PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST

Answers

500%
Steps are on paper

Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.

Answers

Answer:

nice flex

Step-by-step explanation:

HELP PELASE ASAPppppp

Answers

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

Find the area. Simplify your answer.

Answers

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Choose ALL the angles with a measure less that 90 degrees.

Answers

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the angle is less than 90° then the angle is known as an acute angle.If the angle is equal to 90° then the angle is known as a right angle.If the angle is more than 90° then the angle is known as an obtuse angle.

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2


On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?

Answers

Answer44 children and 190 adults

Step-by-step explanation:

Which of the following values is the solution to the equation
-16 + x = -30 ?

-2
-14
-46
-480

Answers

Answer:

-14

Step-by-step explanation:

so we see -30-(-16)=-30+16=(-14)

hope it helps you

please mark me as brainlist

3/8÷5/2
..
..
.
.
.
.
.
.
.
.
.
.
.
.
.

Answers

Answer:

3/20

Step-by-step explanation:

two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus​

Answers

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

-[52-[36-58(24x82) x36] +(-42)]=​

Answers

Answer:

- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = ​−4109158

Br uh don’t even type “I can’t see the pic” Solve both problems and show ur work

Answers

Answer:

1.22

53.08

Step-by-step explanation:

4. We can find the quarter circle, we can find the whole triangle, lets do that

The circle is, 1/4*(1)^2*pi, which is 1/4pi

The triangle is, 2 * 2 divided by 2, which is 2

2 - 1/4pi gives us the shaded part or

2 - 1/4*3.14

2 - 0.785 = 1.215 rounded to 1.22

5. The area of a cylinder is pir^2h. r is 10, h is 1.2

12pi cm^3

we have 20 m^3 which is 2000 cm^3

Let's divide,

2000/37.68 = 53.078, rounded gives us 53.08

Expanded form of 5*10^-9​

Answers

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

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