From a hot-air balloon, Andres measures a 31


angle of depression to a landmark that’s 847 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer 1

Answer:

508.93 feet

Step-by-step explanation:

Yep, I know this problem from Delta Math.

We use tangent, and then solve for tan(31). The work is attached below.

From A Hot-air Balloon, Andres Measures A 31 Angle Of Depression To A Landmark Thats 847 Feet Away, Measuring
Answer 2

The balloons vertical distance above the ground is; h = 508.93 ft.

We are told that Andres measures the angle of depression to a landmark from a hot air balloon to be 31°.

Now horizontal distance of landmark to the air balloon is 847 ft.

This means that the vertical distance will be the vertical side of a triangle formed by the hot air balloon and the landmark.

Using trigonometric ratios, the vertical height is;

h = 847 tan 31°

h = 508.929 ft

Approximating to the nearest hundredths gives;

h = 508.93 ft.

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Related Questions

PLEASE HELP
Write the equation of the parabola in vertex form.

Answers

Answer:

the free

Step-by-step explanation:

Ill mark you brainlist plz help if you put something random I will report you!

Answers

Answer:

Rate of change=1

Step-by-step explanation:

y2-y1/x2-x1

(2,0), (0,-2)

y2=-2

y1=0

x2=0

x1=2

-2-0/0-2

-2/-2

1

Rate of Change=1

If this helps please mark as brainliest

Answer:

1

Step-by-step explanation:

Choose two points from the graph.

(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)    

Rate of change = Change in y / change in x

     

the function g(x) is the function that results when you shift function f(x) up 6 units. f(x)=3x^4. give g(x)

Answers

Answer:

g(x) = [tex]3x^{4} + 6[/tex]

Step-by-step explanation:

To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following

g(x) = [tex]3x^{4} + 6[/tex]

Both f(x) and g(x) can be seen in the attached picture below

D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?

Answers

Answer: 333.3

Step-by-step explanation:

Answer:

Total amount = £500

Step-by-step explanation:

Let the amount for the runner up be = x

Let the amount for winner be =  x + 250

Let the total amount be x + x + 250 = 2x + 250

Ratio of  the amount is 3 : 1

Sum of the ratio = 3 + 1  = 4

Amount for the winner is

                                     [tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]

Therefore, Amount won by runner - up = x = £125

                       Amount won by winner = x + 250 = 125  + 250 = £375

Therefore, total amount = 375 + 125 = £500

What is the slope intercept form for 8-9 whoever answers both and correct will get brainliest

Answers

Answer:

slope 8= -1/5

slope 9= -1

Step-by-step explanation:

does anyone know how to do this

Answers

Answer:

no i dont im so sorry

Step-by-step explanation:

Answer:

i believe it's 185° as the angle measure is closes to that

Can someone help me find the area plz

Answers

Answer:

16.24 yd^2

Step-by-step explanation:

The area is

A = bh

A = 5.6*2.9

A =16.24 yd^2

Answer:

Step-by-step explanation:

90.9

Determine the slope from the given graph below:

Answers

Answer:

A

Step-by-step explanation:

Answer:

B it's 8

Step-by-step explanation:

Brainliest plss

On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58

Answers

9514 1404 393

Answer:

  a = 66

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  a = 180° -114°

  a = 66°

Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units​

Answers

Answer is C
hope it helps

Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4

Answers

Answer:

This is very.....

Step-by-step explanation:

hard

A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done

Answers

Answer:

29 ft

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = h - 5/20

θ = 50°

Hence

tan 50 = h - 5/20 feet

Cross Multiply

tan 50 × 20 feet = h - 5

23.8350718518842 + 5= h

h = 28.8350718518842

h = 29 ft

Answer:

29

Step-by-step explanation:

2) Angel does 124 sit-ups a day for 6 days, while Paul does 152 sit-ups a day for 4 days. Who has more sit-ups?

Answers

Total no. sit-ups by Angel = 124×6 = 744

Total no. sit-ups by Paul = 152×4= 608

Answer: Angel

During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,

Answers

Answer:

4.8 inches

Step-by-step explanation:

6 * 1 / 8 = 0.75

8 * 5 / 12 = 3.33

0.75 + 3.33 = 4.8 inches

Answer:

4.8 inches

Step-by-step Explanation:

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

Answers

Answer:

[tex](x-7)^2+(y-2)^2=34[/tex]

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

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Since our center is at (7, 2), h = 7 and k = 2. Substitute:

[tex](x-7)^2+(y-2)^2=r^2[/tex]

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

[tex](2-7)^2+(5-2)^2=r^2[/tex]

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[tex](-5)^2+(3)^2=r^2[/tex]

Simplify. Thus:

[tex]25+9=r^2[/tex]

Finally, add:

[tex]r^2=34[/tex]

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

[tex](x-7)^2+(y-2)^2=34[/tex]

Dan earns £8.50 per hour. how much will he learn for 8 hours work?​

Answers

Answer:

68

Step-by-step explanation:

Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)

Answers

Where is the options?

Using the right triangle below. What is the name for side AB?

A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above

Answers

Answer:

hypotenuse is the correct answer

Answer: A) hypotenuse

Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it


Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8

Answers

Answer:

C

Step-by-step explanation:

Given the factors of a polynomial.

To find the zeros ( the values that make the polynomial equal to zero ), then

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 8 = 0 ⇒ x = - 8

In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____

Answers

Answer:

short = 5, hypotenuse = 10

Step-by-step explanation:

In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.

As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.

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Determine whether the following statement is true or false.

sin(B)>sin(Y)

True
False

Answers

I think true I am not sure

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Answers

the min is the smallest number in the data set —2
the q1 is the median of the lower half —3
the median is the middle number—5
the q3 is the median of the upper half—8
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  indica los monomios semejantes en cada uno de las siguientes series: por favor ayudenmen aaaaaaa D':​

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Answer:

Do you have this in english so that I can help :)

Step-by-step explanation:

what is the answer to -24 = 36x

Answers

devide both sides by 36

-24/36 = x

reduce

-2/3

SOMEONE PLEASE HELP ME! I AM REALLY BAD AT GEOMETRY!

Answers

Answer:

m∠STQ = 160°

Step-by-step explanation:

Angles diagonal of each other in a parallelogram are equal to each other. Therefore m∠STQ = 160°.

Answer:   160

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rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5

Answers

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]

=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]

=2[tex]\sqrt{5}[/tex]

x + 3 > 70

How do I solve this step by step?

Answers

Answer:

x > 67

Step-by-step explanation:

x+3 >70

subtract from each side

x+3-3 > 70 -3

x > 67

Algebra

To solve this, simplify the algebra inequality.

Subtract three from both sides.

x>67

Meaning, x is bigger than 67.

Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2

Group of answer choices:
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-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.

Answers

Answer:

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.

Answer:

yes

Step-by-step explanation:

A circle has a circumference of 12. It has a arc of length 11. What is the central angle of the arc, in degrees?

Answers

Answer:

132 degrees because you need to to the lenth

On a black Friday, Jumia sold a pair of jeans trousers marked N7 000 at a discount of 10%. Find the Discount

Answers

Answer:

[tex]d=N700[/tex]

Step-by-step explanation:

From the question we are told that:

Sale price[tex]n=7000[/tex]

Discount percentage [tex]dp=10 %[/tex]

Generally the equation for discount d is mathematically given by

[tex]d=n*dp[/tex]

[tex]d=7000*\frac{10}{100}[/tex]

[tex]d=N700[/tex]

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