An airplane is descending as it approaches the airport. If the angle of depression from the plane to the ground is 7 degrees and the plane is 2,000 feet above the ground, what is the distance from the plane to the airport?

Answers

Answer 1

Answer:

The distance from the plane to the airport is around 245.57 feet.

Step-by-step explanation:

Angle of depression = 7 degrees

Height  (Vertical portion of a right-angle triangle) = 2,000 feet

We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:

tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]

Rearrange the equation to solve for 'Opposite':

Opposite=(tanΘ)(Adjacent)

Opposite=(tan[7])(2,000)

Opposite=0.12278456*2,000

Opposite=245.5691218 feet

Thus, the distance from the plane to the airport is around 245.57 feet.


Related Questions

Evaluate the expression when b= -6.
b^2-6b+4

Answers

-6^2 = 36 + 36 + 4 + 76
-6(-6) = 36

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

GIÚP MÌNH CÂU NÀY VỚI ,PLS!
số nguyên dương nhỏ nhất thỏa mãn bất phương trình :giá trị tuyệt đối(-x+2)+5[tex]\geq[/tex]x-2
a.không có
b.x=1
c.x=5
d.x=6

Answers

Answer:

b

Step-by-step explanation:

(-x+2 ) +5 -(x - 2)  [tex]\geq[/tex] 0

-2x+ 9[tex]\geq[/tex]0

x [tex]\leq[/tex]9/2

What is the equation of the sinusoid?
TI
21
Зп
47

Answers

Answer:

y = sin( x/2)

Step-by-step explanation:

The amplitude is 1

The period is 4pi

y = A sin ( Bx)

where A is the amplitude and B is 2pi/ period

y = 1sin (2pi/ 4pi x)

y = sin( x/2)

Answer:

Step-by-step explanation:

c

Make sure to round it to tge nearest 10th

Answers

Answer:

13.9

Step-by-step explanation:

For the 41° angle, x is the opposite leg, and 16 is the adjacent leg. The trig ratio that relates the opposite leg and the adjacent leg is the tangent.

tan A = opp/adj

tan 41° = x/16

x = 16 * tan 41°

x = 13.9085...

Answer: 13.9

Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function

Answers

Answer:

Neither a relation nor a function

Step-by-step explanation:

A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values

An equation is a statement that gives declare the equality between two expressions

A function is a mapping rule that maps each element in the domain set to only one element in the range set

Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function

if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5

guys help me with this question please​

Answers

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as

Answers

Answer:

Step-by-step explanation:

11t= tina

Rita= 11r+32

Find the indicated angle or side. Give an exact answer.
Find the exact length of side a.

A. 1
B. √61
C. √73
D. √13

Answers

Answer:

√13

Step-by-step explanation:

To get the side a, we will use the cosine rule as shown;

a² = b²+c²-2bcCosθ

Substitute the given values

a² = 5²+(3√2)²-2(5)(3√2)Cos45

a² = 25+18-30√2*1/√2

a² = 25+18-30

a² = 13

a = √13

Hence the value of a is √13

What is the average rate of change for this quadratic function for the interval
from x = 3 to X = 5?

Answers

Answer:

4

Step-by-step explanation:

average = mean of the data

(3 +5)/2

=8/2

=4

Answer:

8

Step-by-step explanation:

f(x2) -f(x1)

---------------

x2-x1

x2 = -3  and x1 = -5

Given the radius and area of the circle, calculate the angle at the centre of the circle.

Radius : 21 m
Area of the circle : 27.72 m^2​

Answers

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

HELP ITS DUE IN THE MORNING AND ITS 3:57​

Answers

Answer:

A " (1,-2)

B " (4,0)

C " (6,-3)

Step-by-step explanation:

Hope it helped.

° ° °

how do i find the length of VN​

Answers

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

PLS PLS help me create a new polynomial identity ASAP!!!!!

(y+x) + (ax+b)

Square the expression on the left, then add the expression on the right.

Answers

Answer:

ax + b + y^2 + 2yx + x^2

Step-by-step explanation:

(y+x)^2

= (y+x)(y+x)

= y^2 + 2yx + x^2

y^2 + 2yx + x^2 + (ax+b)

= ax + b + y^2 + 2yx + x^2

Please help me to solve these questions as soon as possible. Thank you
1) 6 is a common factor of 36 and y. Find the possible value of y.
A. 25 B. 48 C.57 D. 81

2)Which of the following shows 180 as the product of prime factors?
A. 180=2×90
B.180=2×2×45
C.180=2×2×3×15
D.180=2×2×3×3×15​

Answers

Answer:

1) B, 48

2) C. 180=2x2x3x15

Step-by-step explanation:

In this activity, you will create an equation for a function represented by a verbal description.

Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?

What is the initial value of the function? Is it positive or negative? Explain your answer.

What is the function’s rate of change? Is it positive or negative? Explain your answer.

Answers

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

Help pleaseee I need it so bad

Answers

Answer:

Step-by-step explanation:

x²+x-12=0

D=49

X1=3

X2=-4

First is (-4;16)

Put x to the equation y=12-3=9

The other is (3;9)

W

find the inequality represented by the graph​

Answers

Answer:

4x+3y<15

This is the inequality represented by the graph

Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number

Answers

There is an 8.125 chance you can get the correct number , If you keep getting 800 every time due to the random probability , For when you divide it as 6500 ÷ 800 = 8.125

Thanks , Please mark me brainliest

From TyrantMC

The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.

Answers

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]

[tex]5x=2(x+240)[/tex]

[tex]5x=2x+480[/tex]

Subtract 2x from both sides.

[tex]5x-2x=480[/tex]

[tex]3x=480[/tex]

Divide both sides by 3.

[tex]x=\dfrac{480}{3}[/tex]

[tex]x=160[/tex]

So, the cost of shirt is $160.

Now, the cost of jacket is:

[tex]160+240=400[/tex]

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

4. a) x2 + xy2 + y 4

Answers

Answer:

x2 + xy2 + y 4=(x+y^2)^2-xy^2

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

Step-by-step explanation:

The formula for this, specific to our circle, is

∠RQP = [tex]\frac{1}{2}[/tex](arc SP - arc RP) and filling in:

∠RQP = [tex]\frac{1}{2}(170-86)[/tex] and

∠RQP = [tex]\frac{1}{2}(84)[/tex] so

∠RQP = 42°

You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?

Answers

Answer:

$613.45

Step-by-step explanation:

Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45

Answer? Which one is it? 1 2 3 or 4

Answers

It's bottom left

It says let C represent the cost of a one-year membership.

C is 80 in order to represent the day you must divide it by 10.

which gives one box for day and 10 boxes for year

Rewrite the radical expression as an expression with rational exponents.

cube root of x to the power of 8

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex]  The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.

2 plus 2 is 22???????

Answers

Answer:

NO

Step-by-step explanation:

Change 3/5
to a decimal fraction.
O 3.5
0.35
O 0.06
0.6

Answers

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

please help me out :)

Answers

Answer:

534.0707511

Step-by-step explanation:

Answer:

534.07

Step-by-step explanation:

2 π r h +2 π =2π512 + 2π5² 534.0

I hope this will help you if not then sorry i have tried :)

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

7. The list price of an article is 25% above the selling price and cost price
is 40% below the list price, then rate of discount is:
a. 15%
b. 20%
C. 25%
d. 40%

Answers

Answer:

I think its C.

Step-by-step explanation:

this that I brain farted oooo i got it

The graph shows a probability distribution.
What is P(X < 3)?

Answers

Answer:

6/20 = 3/10 = 30%

Step-by-step explanation:

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