A hot air balloon is rising vertically. From a point on level ground 110 feet from the point directly under the passenger compartment, the angle of elevation to the balloon changes from 25 degrees to 32 degrees. How far, the nearest tenth, does the balloon rise during this period

Answers

Answer 1

Answer:

17.44 ft.

Step-by-step explanation:

Given,

The Distance of the hot air balloon: 110 ft

Change in elevation, [tex]\theta_1 = 25^0, \theta_2 = 32[/tex]

We know that,

[tex]\tan \theta = \dfrac{Perpendicular}{base}[/tex]

Now,

[tex]\tan \theta_1 = \dfrac{h_1}{110}[/tex]

[tex]\tan 25^0= \dfrac{h_1}{110}[/tex]

[tex]h_1 = 51.294\ ft[/tex]

[tex]\tan \theta_2= \dfrac{h_2}{110}[/tex]

[tex]\tan 32^0= \dfrac{h_2}{110}[/tex]

[tex]h_2 = 68.736\ ft[/tex]

Rise of balloon = 68.736 - 51.294

                         = 17.442 ft

                         = 17.44 ft

Hence, the rise of the balloon rise is 17.44 ft.


Related Questions

please helppppp. i don’t get it and the teacher doesn’t explain it.

Answers

Answer:

1. 22

2. 12

3. Sorry, I'm unable to solve for 3.

4. 5

Step-by-step explanation:

AB is congruent to AD so let's solve the equation:

[tex] \: \: \: \: \: \: \: \: \: \: \: 8x - 2 = 6x + 4 \\ \frac{ - 6x \: \: \: \: \: \: \: \: \: \: \: = - 6x}{2x - 2 = 4} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 2 = + 2}{ \frac{2x}{2} = \frac{6}{2} } \\ x = 3[/tex]

☆Now we plug in for AD.

[tex]AD \\ 6x + 4 \\ 6(3) + 4 \\ 18 + 4 \\ 22[/tex]

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

m<CED is on a right angle, that angle equal 90 degrees.

[tex]7x + 6 = 90 \\ \frac{ \: \: \: \: \: \: - 6 = - 6}{ \frac{7x}{7} = \frac{84}{7} } \\ x = 12[/tex]

-----------

#4. You can do the Pythagorean theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {4}^{2} + {3}^{2} = {c}^{2} \\ {16} + 9 = {c}^{2} \\ \sqrt{25} = {c}^{2} \\ 5 = c[/tex]

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

pls help I will give brainleist and all my points! but you can only get the points if you actually answer!!!!!

Answers

Answer:

y(6 1/4) = 11 3/4

Step-by-step explanation:

I hope this helps!! Also sorry if I'm wrong....

Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students

Answers

The answer would be a. 190 students
190 hope this helps

A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.

Answers

Answer:

420 students

Step-by-step explanation:

965-541=424

round to the nearest ten and you get 420

i hope this helped, please mark this as brainliest! thanks

Answer:

The answer is 420

Step-by-step explanation:

You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.

please help !!!! urgent

Answers

Answer:

[tex]P(x) = 16x - 100 - 0.1x^2[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 46x[/tex]

[tex]C(x) = 100 +30x +0.1x^2[/tex]

Required

Determine the profit function

This is calculated as follows:

[tex]P(x) = R(x)- C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]P(x) = 46x - (100 + 30x + 0.1x^2)[/tex]

Open bracket

[tex]P(x) = 46x - 100 - 30x - 0.1x^2[/tex]

Collect like terms

[tex]P(x) = 46x - 30x - 100 - 0.1x^2[/tex]

[tex]P(x) = 16x - 100 - 0.1x^2[/tex]

if 50% is 15 what is 75%​

Answers

Answer:

22.5

Step-by-step explanation:

50% of a number is 15

let the unknown number be = x

[tex] \frac{50}{100} \times x = 15[/tex]

[tex]x = 15 \div \frac{50}{100} [/tex]

[tex]x = 15 \times \frac{100}{50} [/tex]

[tex]x = \frac{1500}{50} [/tex]

[tex]x = 30[/tex]

75% of 30:

[tex] \frac{75}{100} \times 30 = 22.5[/tex]

Is the point (4,2) a solution of the equation y = 3x - 13?
No
Yes

Answers

No. The point (4,2) is a little off the line.
No ................);&;&($;&?d>,*¥<<£|!€\|¥+

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−17x+1067 y=−17x+10

Answers

Answer:

[tex]\huge\boxed{y=-\frac{1}{7}x+ 10}[/tex]

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

Reciprocal of 7:    [tex]\frac{1}{7}[/tex] Opposite of [tex]\frac{1}{7}[/tex]:    [tex]-\frac{1}{7}[/tex]

So the slope of this line will be [tex]-\frac{1}{7}[/tex]. The y-intercept will change, and we can substitute what we know into the equation [tex]y=mx+b[/tex].

[tex]y = -\frac{1}{7}x+b[/tex]

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

[tex]8 = -\frac{1}{7} \cdot 14 + b[/tex] [tex]8 = -\frac{14}{7} + b[/tex] [tex]8 = -2 + b[/tex] [tex]b = 10[/tex]

Now that we know the y-intercept, we can finish off our equation by plugging that in.

[tex]y = -\frac{1}{7}x + 10[/tex]

Hope this helped!

Answer:

y=−17x+10

Step-by-step explanation:

shorter version

Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2(-4x-1)-x+3=−30  equation/Question

step 2

-2(-4x-1)-x+3=−30  distribute

7x+5=-30

step 3

7x+5=-30  subtract 5

7x=-35

step 4

[tex]\frac{7x}{7} =\frac{-35}{7}[/tex]  divide

answer

x=-5

Answer:

-2(-4x-1)-x+3=-30

8x+2-x+3=-30

7x+5=-30

7x=-30-5

7x=-35

x=-35÷7

x=-5

At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use

Answers

Answer:

$4.50 per hour

Step-by-step explanation:

Step 1: 27 divided by 6 is 4.50

Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27

To find how much it would cost for one hour you would need to divide 27 by 6.

27/6 = 4.5

Therefore it costs $4.5 to rent the bike per hour

Which of the following is the equation of
the line graphed below?

y=-2x-2
x-2-2
y --Zx-2
y - 2x - 2

Answers

Answer:

y=2x-2

I hope this helps:

 

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .

Answers

Answer:

D.) 12

Step-by-step explanation:

16x - 3(4x + 5) = 2x + 9

16x - 12x - 15 = 2x + 9

4x - 2x = 15 + 9

2x = 24

2x/2 = 24/2

x = 12

Check:

16x - 3(4x + 5) = 2x + 9

16(12) - 3(4(12) + 5) = 2(12) + 9

192 - 3(48 + 5) = 2(12) + 9

192 - 3(53) = 24 + 9

192 - 159 = 33

33 = 33

Stephen gathered data about the average rainfall in two cities. He organized his data in the showing graph.

Answers

Answer: B and R

Step-by-step explanation:

I don't understand. Please Help Me!

Answers

Answer:

what

Step-by-step explanation:

If my puppy either 8 pounds when we first got her and now sieges 21 what is the percent change of her weight

Answers

30% hope this helpsssssss

Evaluate the expression: −(8 − 12) + 60 + (−4)2

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

−(8 − 12) + 60 + (-4)2  Equation/Question

step 2

−(8 − 12) + 60 + (-4)2  simplify

-(-4)+60+(-4)(2)

4+60+(-4)(2)

64+(-8)

answer

56

The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.

What is the arithmetic operator?

Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.

Addition =  addition of two or more numbers or variable

For example =3 + 4

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example =8 - 9

Division = divide any two numbers or variable called division.

For example 7/3

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 4.

Given,

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ5

Please help me!!!!!!!!!!!!!!!!!!!!!

fill in the blanks please!!

Words you can use are in the picture.

1. A comparison of one number to another by division is a ________.

2.________ name the same comparison.

3. A ratio that compares quantities with different units is a ________.

4. A _______ is a ratio, or rate, that compares a number to 100

5._______ a fraction or a ratio by dividing the numerator and denominator by a common factor.

Answers

Answer:

1. Ratio

2. Equivalent Ratios

3. Rate

4.Percent

5.Simplify

Please answer this correctly without making mistakes

Answers

Answer:

2 pt + 1c

Step-by-step explanation:

There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get

c = (1/2)p

Replace c with 1/2 p in the equation

5 pt - (2pt + (1/2)p)

= 5pt - 2pi - (1/2)p

= 3pt  - (1/2)p

= 2pt  + (1/2)p

Replace back (1/2)p for c

2pt  + (1/2)p =

2 pt + 1c

The points (-5, -31) and (3,r) lie on a line with slope 4. Find the missing coordinate r

Answers

Answer:

-7

Step-by-step explanation:

The number line represents −4 1/2+3 1/4. What is the sum?

Answers

Answer:

C

Step-by-step explanation:

Rbrberbrb

Answer: Its c

=- 1 1/4

You can just pick one or something anything is appreciated

Answers

huh i’m confused....

If x=3y substitute the value of x into expression simplify 3x+6

Answers

Answer:

(3y)3+6

Step-by-step explanation:

What is the sum (-19X10) + 7

Answers

Answer:

-19×10= -190

-190+7= -183

solve the inequality
x + 0.7 > -0.3

Answers

Answer:

x=4.23606797,−0.2360679

Step-by-step explanation:

sorry if im wrong

Find the area of the composite figure. Write just the answer in the blank.​

Answers

Answer: 297 yd

Step-by-step explanation:

You need to find the area of the rectangle and triangle then add both areas together to find the total area of the composite figure.

Area of rectangle: 12 x 18 = 216

Area of triangle: 81

A = 1/2bh

A = 1/2 x 18 x 9

A = 81

Total area of composite figure: 216 + 81 = 297

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?

Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40



$13.25


$14.68


$21.74


$25.69

Answers

Answer:

21.74

Step-by-step explanation:

Substitute x=5y into the expression -3x + 11 and simplify

Answers

Answer:

-15y+11

Step-by-step explanation:

-3(5y)+11

-15y+11

(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What type of random variable is X

Answers

Answer:

let me think

Step-by-step explanation:

i want free points

Find the slope intercept equation of the line

Answers

Answer:

I know that the y-intercept is 5

Step-by-step explanation:

because the line goes through 5

Answer:

y = -4/5x + 5

Step-by-step explanation:

You need the equation y = mx + b

the y intercept is 5  which is b

You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)

I will use  point (5, 1)

So plugging in that coordinate and the value for b in the equation

y = mx + b is  (1) = m(5) + 5

Solve for m   m= -4/5

so plug m and b back into the equation y = mx + b

is

y = -4/5x + 5

What is greater 0.5 , 0.41 , or 3/5

Answers

Answer: 3/5

Step-by-step explanation:

If you turn 3/5 into a decimal, you’ll see that it would be 0.6 so this is greater than the other two

3/5

3 divided by 5 is 0.6 which is greater than both 0.5 and 0.41
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