The pilot of a small plane is flying at an altitude of 2000 ft- The pilor plans to start the final descent toward a runway when the horizontal distance between the plane and the runway is ? mi. To the nearest degree what will be the angle of depression 19 from the plane to the runw'y at this point?​

Answers

Answer 1

Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:

[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]

[tex]\alpha = 37^\circ[/tex]

The angle of depression will be of 37º.

More can be learned about the slope concept at https://brainly.com/question/18090623


Related Questions

Find the area of the shaded region

Answers

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Suppose f (x) = x². Find the graph of
y (x+5).

Answers

Step-by-step explanation:

Suppose f (x) = x². Find the graph of

y (x+5).

What is the value of x

Answers

x = 20°

The total sum of interior angles in a triangle is 180°

x + 5 + 7(x) - 5 + x = 180°x + 7(x) + x + 5 - 5 = 180°9(x) = 180°x = 20°

Answer:

D)  x = 20

Step-by-step explanation:

Theorem

The sum of the interior angles of a triangle is 180°

Solution

Add the angles and equate to 180:

⇒ (x + 5) + (7x - 5) + x = 180

Collect like terms:

⇒ x + 7x + x + 5 - 5 = 180

Combine like terms:

⇒ 9x = 180

Divide both sides by 9:

x = 20

please give me answer
please give me answer​

Answers

Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

what is 4.768 as a common fraction

Answers

Answer:

[tex] \frac{596}{125} [/tex]

should be it

Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d

Answers

In monthly sales would mr. gonzalez need to have $100000

Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by

What is the formula for monthly earning?

Monthly earnings=a+bx

Where a =his annual salary (fixed),

b = the percentage of sales commission and

X =represents the volume of sales made each year.

Therefore When  Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to

$60000 = $18000 + 0.04X

$60000 - $18000 = 0.04X

$48000 = 0.04X

0.04X = $1200000

X = $48000/0.04=12000000

X=$12000000

Therefore, his monthly sales is given by his  earnings divided evenly each month is equal to

$1200000/12=$100000

So the option c is correct.

To learn mpre about the earning visit:

https://brainly.com/question/25793394

Answer:c

Step-by-step explanation:

I need help

Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.

Answers

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?

Answers

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

What is  radical function?

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]

therefore

[tex]((x+k)^{1/n-1}) > 0[/tex]

As graph is decreasing monotonically  

[tex]\frac{a}{n} < 0[/tex]

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

[tex]f(x)=a(x+k)^{1/n} +c[/tex]

[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex]   as (a < 0)

[tex]0=-a(k)^{1/n} +c[/tex]

[tex]-c =-a(k)^{1/n}[/tex]  multiplying (-1) both side

[tex]c =a(k)^{1/n}[/tex]  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

To know more about Radical function here:

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#SPJ2

simplified form of 2460−78+6884

Answers

Answer:

4502

Step-by-step explanation:

6884+78=6962

6962-2460=4502

4/3 of a number is more than 3/4 of its number by 1 . find the number​

Answers

Question : -

4/3 of a number is more than 3/4 of its number by 1 . find the number .

Given : -

4/3 of a no. is more than 3/4 of its no. by 1

To Find : -

We have to find the number .

To Assume : -

Let the no. be x

So Solution goes from here :

According to question 4/3 of a number is equal to :

[tex] \longmapsto \: \frac{4}{3} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{4x}{3} [/tex]

According to question 3/4 of a number is equal to :

[tex]\longmapsto \: \frac{3}{4} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{3x}{4} [/tex]

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]

Now , transposing 3x/4 to left hand side :

[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]

Now , taking L.C.M :

[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]

Now by calculating :

[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]

Now Subtracting 16x with 9x and transposing 12 to right hand side :

[tex]\longmapsto \: 7x = 12[/tex]

So ,

[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]

Therefore , the number is 12/7 .

#[tex] \sf{Keep \: Learning }[/tex]

What is the area of the figure?

Answers

Area of one triangle=(4+1+1)*2*1/2
=6*2*1/2
=6cm^2
Area of two triangles=6*2=12cm^2

Area of the rectangle=4*11=44cm^2

Total area=44+12=56cm^2

Therefore answer is B

In the figure below, all lines intersect at point W. What is the value of angle VWX?*

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Someone want to help with number 1

Answers

Answer:

  95 in²

Step-by-step explanation:

The total area of a pyramid is the sum of the areas of the triangular faces and the area of the base.

__

face area

Here, each triangular face has a base of 5 in, and a slant height of 7 in. Its area will be given by the area formula for a triangle:

  A = 1/2bh

  A = 1/2(5 in)(7 in) = 35/2 in² . . . . area of one of four congruent faces

__

base area

The area of the base is that of a square with 5-inch sides. It is given by the formula ...

  A = s²

  A = (5 in)² = 25 in²

__

total area

Then the total surface area is .

  area of base + 4 × triangle area

  = 25 in² + 4(35/2 in²) = 95 in² . . . . . surface area of the pyramid

please help Brianlist Provide the missing reasons for the proof.
Given:
Prove:



Answer:

Answers

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

Simplify 4x2−−−√.

the simplified expression is

Answers

Answer:

8

Step-by-step explanation:

If the expression √⋅√ is written as , what is the value of ?

Answers

Answer:

rhe base a for u

Step-by-step explanation:

kk

help mean is 7.8 and standard deviation is 1 will give brainly

Answers

Answer:

a) Mean shoe size = 7.8

b) 8.8, 9.8 and 10.8

c) see attached

d) Shoe size

Step-by-step explanation:

[tex]\sf Mean \ \mu= 7.8[/tex]

[tex]\sf Standard \ deviation \ \sigma= 1[/tex]

Therefore,

[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i

29 i - 20

- 21 i

29

Answers

Answer:

29 i

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry

Answers

original correct coordinates of D : (7, 3)

x is the horizontal axis.y is the vertical axis.

Here Allie mistook the x and y axis completely oppositely.

→ First should be the x axis and then the y axis, (x, y)

Answer:

Step-by-step explanation:

Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.

Point A

4 units from the y-axis ⇒ x = 4

6 units from the x-axis ⇒ y = 6

A = (4, 6)

Point B

2 units from the y-axis ⇒ x = 2

9 units from the x-axis ⇒ y = 9

B = (2, 9)

Point C

0 units from the y-axis ⇒ x = 0

4 units from the x-axis ⇒ y = 4

C = (0, 4)

Point D

Allie has mixed up the x and y coordinates of D.

7 units from the y-axis ⇒ x = 7

3 units from the x-axis ⇒ y = 3

D = (7, 3)

The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.​

Answers

Answer:

= - 9/8

Step-by-step explanation:

(-13/5) * x = 117/40    multiply both sides by  - 5/13

     x =  117 / 40  *  - 5/13  = - 9/8

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

Please help!!
Will mark brainliest

Answers

Answer:

The zeros of f are x = (0,2)

The answer is √2/3 ,- √2/3



Let me know if you need explaining

If m∠4 = 90°, find the m∠5 and m∠3.​

Answers

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

someone I need help with this thank you !!

Answers

Answer:

Question 4) 90 in^3

Question 5) D

Step-by-step explanation:

For question 4 I divided 270 by 1/3 and I got 90 inches^3

For question 5 I mulitplied 1 times 9 times 10 and got 90 inches ^3

Angle g measure’s 117 angle c measure’s 22 angle e measure’s 40 what is the measurement for angle b

Answers

Answer:

500

Step-by-step explanation:

carrie has a string 9 inches long.she will cut each piece of string into 1/4

Answers

If Carrie has a string 9 inches long, what she will cut the piece into  is mathematically given as

X=2.25pcs

What is the number of pieces?

Generally, the equation for the number of pieces  is mathematically given as

X=Total number *ratio

Therefore

X=9*1/4

X=2.25

In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio

Read more about Arithmetic

https://brainly.com/question/22568180

make a math slogan (it should be catchy and meaningful)

Answers

Answer:

Be a wise girl or guy, Give math a try!

Step-by-step explanation:

Can someone help me with this pls I would be so happy if I got help with this.

Answers

Step-by-step explanation:

Pam made a mistake when multiplied fractions.

Correct way of multiplication involves the multiplication of both numerator and denominator.

She should have written

[tex]\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}[/tex]

(urgent) help! pic is below, its either A or B!

Answers

Answer:

Airplane A.

Step-by-step explanation:

What are the coordinates of point B on AC such as that ratio of AB to BC is 5:1?

Answers

Answer:

Lines can be divided in smaller segments by using ratios

The coordinates of B are:

The given parameters are:

The coordinate of B is calculated using:

So, we have:

Simplify fraction

Hence, the coordinates of B are:

Step-by-step explanation:

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