A plane flying at an altitude of 4 miles is approaching an airport that is 31 miles ahead on

the pilot's line of sight. What is the angle of depression from the plane to the airport to the

nearest TENTH of a degree?

Answers

Answer 1

Answer:

[tex]7.4^{o}[/tex]

Step-by-step explanation:

Altitude of the plane = 4 miles

Distance from the plane to the airport = 31 miles

Let the angle of depression from the plane to the airport be represented by θ. Thus applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{4}{31}[/tex]

          = 0.1290

θ = [tex]Tan^{-1}[/tex] 0.1290

  = 7.3506

θ = [tex]7.4^{o}[/tex]

The angle of depression from the plane to the airport is [tex]7.4^{o}[/tex].


Related Questions

Help please !!!!!!!!!!!!!

Answers

It’s a perpendicular is two lines that intersect creating a cross

slope 5.000

Intercept of x = -0.60000

Intercept of y= 3.0000

ASAP ITS DUE TODAY!
Bena is planting 150 trees on her property. She has planted 48 trees. How many more trees does Bena have to plant? Write, solve, and check an equation for this situation. Define the variable

Answers

Answer:

She would have to plant 102 more trees.

Step-by-step explanation:

150-48=102

Check: 102+48=150

Compounding comparing accounts

Answers

Answer:

hi

Step-by-step explanation:

what's up

2^100 -2 modulo 100

WILL GIVE BRAINLIEST

Answers

Answer:

Wait what are you asking?

The exact form: 2^100 -2

The Decimal form: 1.2676506 times 10^30

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicular) is _____​

Answers

Answer:

The parallel line has slope [tex]\frac{20}{7}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

[tex]7y = 20(x-3)[/tex]

Placing it in the general format

[tex]7y = 20x - 60[/tex]

[tex]y = \frac{20x}{7} - \frac{60}{7}[/tex]

So this line has slope [tex]\frac{20}{7}[/tex]

Parallel line:

Same slope, so the parallel line has slope [tex]\frac{20}{7}[/tex]

Perpendicular line:

Multiplication of the slopes is -1. So

[tex]\frac{20m}{7} = -1[/tex]

[tex]20m = -7[/tex]

[tex]m = -\frac{7}{20}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

If a number is odd, then it has a remainder of 1 when divided by 2.


Which is the conclusion of the conditional

Answers

Answer:

A number is odd

Step-by-step explanation:

Odd numbers are not completely divisible by 2.

What is the importance of knowing divisibility rules?

The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.

A number is divisible by 2 if it's unit digit is divisible by 2.

A number is divisible by 3 if the sum of the digits is divisible by 3.

A number is divisible by 4 if the last two digits is divisible by 4.

A number is divisible by 5 if its unit digit is 5 or 0.

A number is divisible by 9 if the sum of the digits is divisible by 9.

A number is divisible by 10 if its unit digit is 0.

Given, If a number is odd, then it has a remainder of 1 when divided by 2.

So the numbers which are not completely divisible by 2 have a remainder and are odd numbers and numbers which are completely divisible by 2 with no remainder are even numbers.

learn more about divisibility rules here :

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Zoom in to see more clear :)

Answers

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

A market trader asks 500 for some cloth. a woman offers 1200, after bargaining they agree a price half way betweeb the two starting prices

Answers

Answer:

850

Step-by-step explanation:

To find the midpoint just find the average between the two

1700/2=850

At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking

Answers

Answer:

Yes, the membership is worth it.

Step-by-step explanation:

Per workout : $10× 24 days = $240

Per workout with th membership: $3 × 24 days = $72+ $140 = $212

PLZ HELP ME??? I BEG OF U???

Answers

11.85 is the answer

Answer:

11.85

Step-by-step explanation:

because you have to subtract 19.15 and 7.3.

Two planes intersect at a...
A. Plane
B. Power
C. Point
D. Line

Answers

Answer:

D. Line

Step-by-step explanation:

Which notation describes {1, 2, 3}

Answers

first three natural numbers

First, three natural numbers notation describes {1, 2, 3}.

What is set notation?

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation. The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

Given, a set  {1, 2, 3}

Since a set notation used to represent the elements of a set is the curly brackets { }. An example of a set is A = {a, b, c, d}. Here the set is represented with a capital letter, and its elements are denoted by small letters.

These given number best fit in the category of natural numbers.

Therefore, First, the notation for three natural numbers shows  {1, 2, 3}.

Learn more about set notation here:

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Find the median of the data in the box plot below.

cm

Amount of rain in Vietnam cities

(centimeters)

++

4 5 6 7 8 9 10

0 1 2 3

Answers

Answer:

The median is 5cm.

Step-by-step explanation:

Median is one of the 3 famous measures of central tendency.

The others are: mean & mode.

A median is the middle figure in an array of figures which are lined up from lowest value to highest value.

Here, the variable we're working with is Amount of rainfall in Vietnam cities (in centimeters).

The data shows   4cm, 5cm, 6cm, 7cm, 8cm, 9cm, 10cm, 0cm, 1cm, 2cm, 3cm

We start by arranging them in order of value; from lowest to highest:

0cm, 1cm, 2cm, 3cm, 4cm, 5cm, 6cm, 7cm, 8cm, 9cm, 10cm

There are 11 values in total.

Since 11 is an odd number, it is easy to find the median in this set of values.

Five values to the left and five values to the right; the median is 5cm!

how long does it take for a parachute to hit the ground from one meter

Answers

Answer:

Your first few seconds in freefall will be a wee bit slower, so you'll cover a little less distance at first, but then you'll accelerate to full speed. The first 300 or so meters (1,000 feet) will take about 10 seconds to fly through. Then 5 seconds for every 300 meters after that.

hope this helps!!:)

Step-by-step explanation:

Plz I will give brainliest

Answers

Answer:

I'm so confused

Step-by-step explanation:

did you forget to add a picture

Help pleaseeeeeeeee!!!!

Answers

Answer:

c . 2×1+0×(1/10)+59×(1/1.000)

PLEASE I REALLY NEED THE ANSWER Q:Twins occur once in every 89 births. Identical twins occur 4 times in every 1,000 births. Triplets occur once in every 7.900 births. Write each birth frequency as a decimal. Round to the nearest ten-thousandth.

Answers

Answer:

Twins=0.004

Triplets=0.0001 OR 0.00012658227

I need help getting the answer to this question. ​

Answers

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

I think this should help ya! -Furreto

find the difference pls help

Answers

Answer:

Cauclating      the sums

20+30+2=52= 1378

15+41+30=86=3741

18+32+15=65= 2485

If 15 larger paper clips were laid end to end to make a length of 17 7/8 inches, is each paper clip larger or smaller than one inch? Explain how you know.​

Answers

Answer:

Larger than [tex]1\ \text{inch}[/tex]

Step-by-step explanation:

The total lenght of [tex]15[/tex] paper clips is [tex]17\dfrac{7}{8}=\dfrac{143}{8}\ \text{inches}[/tex]

In order to find the length of [tex]1[/tex] paper clip we divide the total length of the paper clips by [tex]15[/tex]. So,

[tex]\dfrac{\dfrac{143}{8}}{15}\\ =\dfrac{143}{8}\times\dfrac{1}{15}\\ =\dfrac{143}{120}\\ =1\dfrac{23}{120}=1.1917\ \text{inches}[/tex]

So, one paper clip is [tex]1.1917\ \text{inches}[/tex] long which is larger than [tex]1\ \text{inch}[/tex].

Answer:

didvid the number and that got you a big number

Which figure is a triangular prism? Select all that apply.
A
B
c
D

Answers

Answer:

The answer choice is E.

Step-by-step explanation:

Answer:

A and C are triangular prisms

Please help me with this question it’s due in 5 minutes!!!!

Answers

An equation of the line that passes through the points (-6, -2) and (-3,2) will be:

A function is shown: f(x) = (1.07)x What does the function represent? Exponential growth of 7% Exponential decay of 7% Exponential growth of 93% Exponential decay of 93%

Answers

Answer:

Exponential growth of 7%

Step-by-step explanation:

We are given the function:

A function is shown: f(x) = (1.07)^x

We can compare this to a formula of Exponential Growth

y = a(1 + r)^x

Hence:

1 + r = 1.07

r = 1.07 - 1

r = 0.07

Converting to percy

0.07 × 100

= 7%

Therefore, the function represents Exponential growth of 7%

Answer:

It is  

Exponential decay of 93%

Step-by-step explanation:

:3 hope that helped!

the actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.

someone pls helpp !!!

Answers

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm  = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

What is the equation in slope-intercept form for the line that passes
through the points (-1, 3) and (-2, -3)?
A. y = 6 - 9
C. y=-6x - 9
B. y = 6x + 9
D. y = -x + 9

Answers

Answer:

y = 6x + 9

Step-by-step explanation:

Δy =-3-3 = -6

Δx =-2-(-1) = -1

Slope = Δy/Δx = 6

Point-slope equation for line of slope 6 that passes through (-1,3):

y-3 = 6(x+1)

Rearrange to solve for y:

y = 6x + 9

Find a reason why each number doesn't belong to the rest of the group. On this question, there are MANY right answers.


the numbers are 9 16
25 43

Answers

Step-by-step explanation:

its 5

Ezra earns $9 an hour working at the bookstore. She works for 7 hours each day on mondays and Wednesday’s. How much does Ezra earn each week

Answers

Answer:126

Step-by-step explanation:

9x7x2 = 126

plz help me and i will mark u brainliest

Answers

Answer:

[tex]-\frac{7}{24}[/tex]

Step-by-step explanation:

When subtracting a negative, it turns into a positive, so:

[tex]\frac{1}{8} -\frac{5}{12}[/tex]

Now find a common denominator:

[tex]\frac{3}{24} -\frac{10}{24}[/tex]

[tex]-\frac{7}{24}[/tex]

Need help!

Which answer is correct?

Answers

Answer:

the answer is a

Step-by-step explanation:

The answer is A hdhdjdujdjdidjdidjdd

The Williams family went out for dinner last night. The bill came to $59.95. What amount should they leave if tax is 7% and they
leave a 20% tip?

Answers

Answer:

76.1365

add 27% to 59.95

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