A Goodyear Blimp is positioned at a height of 1,500 feet over the M&T
Bank Stadium to broadcast the Baltimore Ravens game. The blimp is
observed by a car of fans as they look upward at an angle of 22º.
Another car closer to the stadium can see the blimp if they look
upward at an angle of 65º.
DEOOV
כשע
Figure not
drawn to scale
1500 ft
65
22
x ft.
Determine x, the distance between the two cars.

Answers

Answer 1

The distance between two cars comes to be 4412.06 feet.

Find the attached diagram to visualize it better.

From the attached diagram

The Distance between two cars is x+y

The angle of elevation for the first car = 22 degrees

The angle of elevation for the second car = 65 degrees.

Height of the Goodyear blimp = 1500 feet

What is the tangent of an angle?

The tangent of an angle is the ratio of the opposite side to the adjacent side of that angle.

So, tan 22° = 1500/x

So, x= 1500/tan 22°

x = 3712.63 feet

tan 65° = 1500/y

So, y = 1500/tan 65°

y = 699.46 feet

x+y = 4412.06 feet

So, the distance between two cars =  4412.06 feet

Therefore, the distance between two cars comes to be 4412.06 feet.

To get more about the angle of elevation visit:

https://brainly.com/question/10217662

A Goodyear Blimp Is Positioned At A Height Of 1,500 Feet Over The M&TBank Stadium To Broadcast The

Related Questions

NEED HELP ASAP The salaries of Nathan and Trisha are in the ratio of 5:9. Trisha's salary is £16800 more than Nathan's. Find Nathan's salary.​

Answers

Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200


Nathan’s salary is 5 units

5 * 4200 = 21000

Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?

Answer using 2 step equations and X as variable

Answers

Let X be number of hours rented and C be total cost.
C = 50X + 100
Since C = 300,
50X + 100 = 300
50X = 200
X = 4 hours
300=100+50x
x=4
She rented the limo for 4 hours($200) with the one time charge of $100

Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?

Answers

Answer:

1/2 in/hr

Step-by-step explanation:

2 in / 4h   =   1/2 inch per hour

A store sells a workout outfit that consists of a jacket, a t-shirt, and a pair of shorts. The store purchases the jacket for $34, the t-shirt for $9, and the shorts for $12. The percent of markup is 28%. Find the selling price of the outfit.

PS: include show work please I have to submit this in like 3 hours thankyou

Answers

Answer:

The Outfit costs $70.4.

Step-by-step explanation:

Add the selling price together

34 + 9 + 12 = 55

Multiply by the markup (Profit)

100% = 1

28% = 0.28

55 x 1.28 = 70.4

Point q is located on the coordinate grid at (-9.73,-3.32) in which quadrant is point q called

Answers

Answer:

  III

Step-by-step explanation:

The signs of both x and y are negative in the 3rd quadrant.

__

x-values are negative in the left half-plane.

y-values are negative in the bottom half-plane.

Both coordinates are negative in the lower-left quadrant, number III.

Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1

Answers

Answer:

Step-by-step explanation:

Arithmetic sequaence:

[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]

[tex]a_2 = -3*4^2-1\\[/tex]

    = -3*16 -1

     = -48 - 1

    = -49

difference = second term - first term

                 = -49 -(-13)

                = -49 + 13

             d = -36

[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]

[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]

= 5*(-135)

= -675

Which expression is equivalent to the following complex fraction?

Answers

Consider the fraction first ;

[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]

Hence, Option B) is required answer

help me please mark U as BRAINLIEST​

Answers

Hope this helps. Good luck

A data set is normally distributed with a mean of 8.1 and a standard deviation of 3.8.
What percentage of the data is above 8.6?
Enter your answer as a number to the nearest whole percentage, like this: 42%

Answers

Answer:

  45%

Step-by-step explanation:

Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.

135.99 rounded to two significant figures

Answers

Answer:

1.3×10^1

Step-by-step explanation:

For this, you need to use scientific notation

First, let's round up the decimal points

135.99 = ~ 136

1.3 ×.10^1

A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c

Answers

Answer:

[tex] - \frac{1}{2} x - y + 3 = 0[/tex]

Step-by-step explanation:

as shown in drawing

A car travels 80 miles on 3 gallons of gas. At the same rate (in miles per gallon) l, how many miles will the car be expected to travel on 5 gallons of gas?

A. 48

B. 130

C. 133 1/5

D. 160

Answers

Answer:

C

Step-by-step explanation:

if xy=2√3 the value of x^4+y^4=?​

Answers

Step-by-step explanation:

wrong question or incomplete question

A very slow man walks

20 cm.in 0.5 left, what his

velocity in meter per second?

Answers

Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067

Please help i wan't a good grade but I can't figure this out.

Answers

Answer:

angle DCE

Angle DEC

Angle ABF

Step-by-step explanation:

you had the wrong order

CAN SOMEONE HELP PLS?? I rlly dont get this.

Answers

The little square on the angle means that the entire angle is 90 degrees

The larger angle is made up of two angles of measure 'x - 18' and 'x'

Let's put that into an equation form:

     (x - 18) + (x) = 90

        2x - 18 = 90

           2x = 108

            x  = 54

So x = 54

Hope that helps!

Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?

Answers

Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

How to determine the value?

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

P is the principal amountI is the simple interestR is the interest rateT is the time

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

Learn about simple interest at: https://brainly.com/question/25793394

#SPJ2

Does anyone know the answers? Need help!!

Answers

Answer:

nice handwriting

Step-by-step explanation:

A 22° B 54° С What is the measure of AD? O 108° 0 27° 126 54°​

Answers

Answer:

A. 108

sorry if im wrong but if u am I'm so sorry

The equation representa Function A and the graph represents Function B

Answers

Answer:

D) Slope of Funcation B = - Slope of Function A

Step-by-step explanation:

The equation for the line is:

y=mx+b

Where m is the slope and b is the y-intercept

In this question, we are only interested in the slope.

For function A, we can see that the equation is f(x) = -2x + 1

Going back to the equation, we can see that -2 is the slope

Now for function B, we need to find the slope by looking at the graph.

To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)

So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be

2

Comparing the slope of both the functions

Function A is -2

and

Function B is 2

So the answer is D

What is the range of this data set?

36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3

Answers

Answer:

Step-by-step explanation:

39.8 - 32.2 = 7.6

Range is subtracting the highest and lowest numbers by each other .

Based on the calculations, the range for this data set is equal to 7.6.

What is a range?

In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

Mathematically, range is calculated by using this formula;

Range = Highest number - Lowest number

From the given data set, we have:

Highest number = 39.8.Lowest number = 32.2.

Substituting the given parameters into the formula, we have;

Range = 39.8 - 32.2

Range = 7.6.

Read more on range here: https://brainly.com/question/9393969

If abc is an equilateral triangle bc must be 2cm true or false?

Answers

Answer:

I would say False

I really need this answer plss

Answers

Answer:

No No No No No No No No No No No No No

How do you solve this?
2sinXcosX=sinX

Answers

Answer: X=60°
2sinXcosX = sinX
Divide through by 2sinX
cosX = 1/2
X = cos-1(1/2)
X= 60°

Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.​

Answers

Answer:

Model 1

Step-by-step explanation:

Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.

-0.5(14a - 22) = ? this for my work, please help me.

Answers

Answer:

-7a+11

Step-by-step explanation:

Geometry: Trig Pile Up Activity

Answers

The measure of the unknown angle is 53 degrees.

The length of the unknown side of the blue triangle is 4.43 cm

Right angle triangle

Right angle triangle have one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore, the measure of the unknown angle can be calculated as follows:

let

x = unknown angle

x = 180 - 90 - 37 = 53°

Therefore, let's find the unknow length of the blue triangle.

tan 53 = opposite / adjacent

tan 53 = 6.9 / a

a = 6.9 / 1.327

a = 5.1996985682

a = 5.2

The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm

Therefore,

sin 59 = opposite / 7.8

opposite = 7.8 × 0.8571673007

opposite = 6.68590494548

opposite side = 6.69 cm

The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm

Therefore,

sin 71 = x / 4.69

x = 4.69 × 0.94551857559

x = 4.43448211956

x = 4.43 cm

learn more on right triangle here: https://brainly.com/question/7894175

help help help help math math

Answers

Answer:

2

Step-by-step explanation:

the line is straight and is set on 2 so y<2

Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12

How many muffins are needed to fill all the boxes? Show your work

Answers

30
4 + 6 = 10
10 + 8 = 18
18 + 12= 30

or 4 + 6 + 10 + 8 + 12 = 30
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