A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse), what is the current altitude of the plane?

A. 4.9 miles
B. 3.4 miles
C. 4 miles
D. 1.6 miles
E. 2.3 miles

Answers

Answer 1

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)

For any angle [tex]\theta[/tex],

[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]

[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]

So, the current altitude of the plane is 4 miles.


Related Questions

Find the area of the semicircle.

Answers

The answer is 39.27

A group of 6th-grade students ran the 50-yard dash. Their times are
shown in the line plot below. What was the median time for the 50-yard
dash?
Time on 50-yard Dash
(in seconds)

Answers

Answer:

the median time for the 50 yard dash is 8 seconds

Step-by-step explanation:

hope this helps :)

Use the table of values to find the function's values. If x = 0, then f(0) = . If f(x) = 27, then x =

Answers

If x = 0, then the value of the function f(0) will be negative 15. And if the value of the function f(x) is 27. Then the value of x will be 3.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The table is given below.

If x = 0, then the value of the function f(0) will be

f(0) = -15

And if the value of the function f(x) is 27. Then the value of x will be

x = 3

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

if x = 0, then f(0) = -15 and if f(x) = 27, then x = 3

Step-by-step explanation:

i look at the table for 0 and 27 and then look at the numbers next to it

What is the hourly revenue if there is no decrease in price?

Answers

The constant money u get every 1 hour

For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going along just fine until one of their friends asked the happy couple who was older! Here's what they had to say. Richard: "I am older than my wife." Sylvia: "I am younger than my husband." That might have been the end of it, but one of the guests knew that at least one member of the couple was lying. Well, who is older, Richard or Sylvia?

Answers

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

to

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

What is the product of 3/4 and -6/7?

Answers

Answer:

-0.64285714285

Step-by-step explanation:

To 1 d.p. -0.6

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} *(-\frac{6}{7})=\\\\-\frac{3*6}{4*7} =\\\\-\frac{18}{28}=\\\\-\frac{9}{14}[/tex]

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer:

it is 6x²+ 9x- 15

Step-by-step explanation:

2=n/3 n=? Please answer as quick as possible thx

Answers

Answer:

[tex] \boxed{n = 6} [/tex]

Step-by-step explanation:

[tex] = > 2 = \frac{n}{3} \\ \\ = > \frac{n}{3} = 2 \\ \\ = > n = 2 \times 3 \\ \\ = > n = 6[/tex]

Can someone help me with this

Answers

Answer:

x=5

Step-by-step explanation:

2x+10=20

   -10   -10

2x=10

then divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Given

2x + 10 = 20

Subtract 10 to both sides

(2x + 10) -10 = 20 - 10

2x = 10

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{10}{2}[/tex]

x=5

Check your work. Substituted 5 for x

2x + 10 = 20

2(5) + 10 =20

10 + 10 = 20

20 = 20

Lines m and n are parallel. What is Measure of angle 2?

Answers

I’m pretty sure it is 106 because 180 minus 74 which

Answer:

67

Step-by-step explanation:

Complete the steps to solve for x 5/8x-1/3x=7

Answers

X=24 ........................

Griffin ordered a pair of sneakers online. He had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $65, how much did Griffin charge to his credit card when he bought the sneakers?

Answers

Answer:$43

Step-by-step explanation:

65 -22 =43

All natural numbers excluding 1 and prime numbers are best described as?
___________________

Answers

Answer:

Composite Numbers.

25x⁴+4x⁴y²+4y⁴ please answer this question ​

Answers

Answer:

(5x²+2y² + 2xy)(5x²+2y² - 2xy)

Step-by-step explanation:

It must be: 25x⁴+4x²y²+4y⁴

Then solution is:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer: 33

Step-by-step explanation:

there ages m and b.

m = b + 12

m - 17 = 4(b - 17) m = 4b - 51

3b = 63

b = 21

m = 21 + 12 = 33

Hope this helps :)

Answer: Michael is 33 years old.

Step-by-step explantation: Okay, think of it like this, Michael's age for right now is x since we still do not know Michael's age. Pay close attention to the first sentence. What does it say?  m = b + 2. Now pay attention to the second sentence. What does it say? m - 17 = 4 ⋅ (b = 17). Now, let's move on to the system of equations. As you can see here, the system of equations is

{m = b + 12

{m - 17  = 4 ⋅ (b - 17}.

Now for more equations.

m - 17 = 4b - 68

m = 4b - 68 + 17

m = 4b - 51

m - 4b = -51

-

b + 12 - 4b = -51, through the substitution from the first equation we saw

-3b = -51 - 12

3b = 51 + 12

b = 51/3 + 12/3

b = 17 + 4

b = 21

-

m = 33.

The Function f is defined by f(x)=2x+3/x+2
find f(n+3)

Answers

Answer:

(2n+9)/( n+5)

Step-by-step explanation:

f(x)=(2x+3)/(x+2)

Let x = n+3

f(n+3)=(2*(n+3)+3)/(n+3+2)

        = (2n+6+3)/(n+5)

        = (2n+9)/( n+5)


If the Walmart is 15 minutes away from my house why hasn't my dad come back with the milk it has been 14 years??

Answers

Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

Part A


The dot plot shows the daily lunch money of a group of students.


Each dot represents one student.


1


6


2 3 4 5


Daily Pocket Money ($)


What is the mean daily pocket money?

Answers

*diagram of the dot plot is attached below

Answer:

$2.15

Step-by-step Explanation:

Mean daily pocket money or average daily pocket if the group if students shown in the for plot that is attached below = the sum of the pocket money received by the students ÷ the total number of students.

From the diagram of the dot box attached below, the total number if students = 13 (each dot represents a student)

Sum of the pocket money received by the students = 4(1) + 5(2) + 3(2) + 4(2)

= 4 + 10 + 6 + 8

Sum = 28

Therefore, mean daily pocket money = 28 ÷ 13 = $2.15

20 POINTS !! PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !!

Answers

Answer:

c. 81

Step-by-step explanation:

(x^3)^1/6= √81

x^(3*1/6)= √81

x^(1/2)= √81

√x=√81

x=81

The answer is D.6561

What is the standard notation of 415 km?

Answers

Answer:

The answer is 415 because it is already in standard notation.

Whats the square root of 10000

Answers

Answer: 100

Step-by-step explanation:

Answer:

The square root of 10000 is 100

Step-by-step explanation:

A softball is thrown from the top of a 30ft building. The height of the ball is modeled by
h(t) = -16ť? + 20+ + 30
where t is time in seconds.
How long does it take for the ball to hit the ground?
Question to answer: How long does it take for the ball to hit the ground? Round to the nearest tenth.
The ball hits the ground at
seconds.

Answers

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!


Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?

A. 3
B. 4
C. 5
D. 6

Answers

We will find that there are 5 outcomes where the sum of the numbers on the dice adds up to 6.

In how many different ways can he roll a sum of 6?

We want to see how many outcomes are there where the sum of the two dice is equal to 6. Each dice has 6 outcomes, which are:

{1, 2, 3, 4, 5, 6}

For rolling two dice with 6 outcomes each, the total number of outcomes is:

6*6 = 36

For rolling two dice, we can use the notation:

dice 1,  dice 2

And we can also write the sum, so we will only look at the outcomes where the sum is 6.

dice 1,  dice 2,  Sum

1            5          1 + 5 = 6

5           1           5 + 1 = 6

2           4           2 + 4 = 6

4           2            4 + 2 = 6

3           3            3 + 3 = 6

So there are 5 outcomes where the sum is equal to 6, so the correct option is B

Learn more about outcomes:

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Answer:

C

Step-by-step explanation:

the other guy explains it better, but i took the quiz, so I can confirm

please help me quickly !!!

Answers

Answer:

The first part is [tex]4+12x=28[/tex]

The second part is multiply both sides by 4

The third part is (not sure cause i got subtract 16 from both sides) but i think it is subtract 3 to both sides

The fourth part is [tex]x=8[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(16+12x\right)=28\\\mathrm{Multiply\:both\:sides\:by\:}4\\4\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:44\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:4\\Simplify\\16+12x=112\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\16+12x-16=112-16\\\mathrm{Simplify}\\12x=96\\\mathrm{Divide\:both\:sides\:by\:}12\\\frac{12x}{12}=\frac{96}{12}\\Simplify\\x=8[/tex]

In circle Y, what is m 21?

25°
31°
37°

Answers

I don’t see the circle of m , I think the answer will be 25

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(5x)?

Answers

Answer:

Step-by-step explanation:

If the parent function is f(x) = x² and the transformed function is g(x) = a(x)²

For a > 1, then the transformed function g(x) will be vertically stretched by a factor of 'a'

For 0 < a < 1, then the transformed function will be vertically compressed or shrink by a factor of 'a'

For a function f(x) = x² when transformed to f(5x) = (5x)²

g(x) = 25x²

Therefore, graph of the parent function f(x) will be vertically stretched by 25 units.

What is the measure of angle ABC to the nearest degree? PLEASE HELP

Answers

Answer:

a=90 B=80 C=180

Step-by-step explanation:

I don’t get it please help

Answers

Answer: 50, 75, 40, 125

Step-by-step explanation:

a) x = 5*20/2 = 50

b) x = 5*30/2 = 75

c) x = 2*100/5 = 40

d) x = 5*50/2 = 125

Put the following equation in slope-intercept form: x+2y=16​

Answers

Answer:

y= -x/2+8

Step-by-step explanation:

Cause I know UwU

joy and Peter were each walking along a straight road. Joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joy's distance in 1/5 hour.
1. What was joy's average walking speed
2. How much did Peter walk in 1/5 hour
3. What is peter's average walking speed
4. Joy walks how much meters/hours faster, slower, or as fast as

Answers

The answer is 3 because it says how much joy walked and not Peter , you’re trying to figure out what’s peters average walking speed
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