The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distance between the building in a horrible Luna is 354 feet find the height of a hot air balloon
Answers
Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle [tex]ABE[/tex].
[tex]\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan76^{\circ}=\dfrac{AE}{BE}[/tex]
[tex]AE\approx 4.01\times 354[/tex]
[tex]AE\approx 1419.54[/tex]
The height air balloon is 1419.54+95 =1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
Related Questions
Hurry i need this right now !!!
The ages of three brothers are consecutive integers. The sum of their ages is 24. Let b represent the youngest brother.
Write an expression to represent the second oldest brother.
Write an expression to represent the oldest brother.
Write an equation to represent the sum of all three brothers.
Answers
Answer:
Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Step-by-step explanation:
Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Answer:
[tex]b+1\\b+2\\b+(b+1)+(b+2)=24[/tex]
Step-by-step explanation:
If [tex]b[/tex] represents the youngest brother's age, the second oldest brother's age can be written as [tex]b+1[/tex] and the third can be written as [tex]b+2[/tex], since they're all consecutive.
The sum of all their ages is then [tex]b+(b+1)+(b+2)[/tex] which is equal to [tex]24[/tex], as given.
My guys got me I will give brainliest
Answers
Answer:
58°
Step-by-step explanation:
A + B + C = 180 °
The smallest value of C is 91.
A + B = 89
A = 2B - 4
2B - 4 + B = 89
3B - 4 = 89
3B = 93
B = 31
A + 31 = 89
A = 58
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Information about a rectangle is given below. Find the missing measurement.
Area = 63 km2
Length = 7 km
Width = ? km
Answers
Answer:
Width = 9 km
Step-by-step explanation:
Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.
please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.
Answers
Answer:
I can see if one of my friends can help
Answer:
a?
Step-by-step explanation:
No no BBB
Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How many days each year does Alisa need to walk the dog?
Answers
Answer: 121 2/3 days
Step-by-step explanation:
Number of days in a year = 365 days
Number of friends = 3 friends
The number of days each year that Alisa need to walk the dog will be:
= Number of days in a year / Number of friends.
= 365 / 3
= 121 2/3 days
= 121 days + (2/3 × 24hours)
= 121 days 16 hours
Note that 24 hours = 1 day
78% of 68 is what number?
Answers
Answer:
53.04
Step-by-step explanation:
Please Help me with this I don’t understand
Polygon E’F’G’H’
is a dilation image of the polygon
EFGH
What is the scale factor of the dilation?
A.3
B.6
C.12
D.1/3
Answers
Answer:
The scale factor of the dilation is 3 ⇒ A
Step-by-step explanation:
If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpointsIn the given figure
∵ EFGH is a polygon
∵ E = (-2, 1), H = (-2, -1)
∵ EH is a vertical side
→ By using the 2nd rule above
∴ The length of EH = 1 - (-1) = 1 + 1
∴ The length of EH = 2
∵ E'F'G'H' is its image after dilation by scale factor k
∵ E' = (-2, 5), and H' = (-2, -1)
∵ E'H' is a vertical side
∴ The length of E'H' = 5 - (-1) = 5 + 1
∴ The length of E'H' = 6
→ By using the 1st rule above
∴ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{E'F'}{EF}[/tex] = [tex]\frac{H'G'}{HG}[/tex] = [tex]\frac{F'G'}{FG}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = k
∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]
∴ [tex]\frac{E'H'}{EH}[/tex] = 3
∴ k = 3
∴ The scale factor of the dilation is 3
Quickkk solve by graphing u can use a graph I just need the work
y = 3x + 2
6x - 2y = -4
Answers
Answer:
-3x-3y=-24
divide the equation by 3
-x-y=-8
multiply -1
x+y=8
second equation
x+y=8
same equation
so answer is
x+y=8
Step-by-step explanation:
Q.2*
Simplify
(2a2 – 4a – 8)(a + 1)-1
A. 2a - 6
2
a+1
B. 2a2 - 6a - 2
2
C. 2a + 6+
a+1
Answers
i think the B is the answer
I will give brainliest to the correct answer!
Answers
Answer:
c). 2x^3 x ^3[tex]\sqrt{4}[/tex]
Step-by-step explanation:
i hope this is correct! have a good day! c:
please help i will mark branliest
Answers
Answer:
C
Step-by-step explanation:
Can someone help me? I dont really know how to do this?
Answers
Answer:
54
Step-by-step explanation:
x+2x+2x=5x
90/5=18
18*3=54
Answer:
The answer is 54.
Step-by-step explanation:
Ok buddy
‣Remember that a right angle equals 90 degrees.
‣The numbers lie on a right angle.
‣So watchya gonna do is combine the like terms.
[tex]x + 2x + 2x = 5x[/tex]
‣In an equation, that finna look like:
[tex]5x = 90[/tex]
‣Solve that equation
[tex] \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]
‣Therefore, the value of x is 18.
‣We trynna find 3x so plug it.
[tex]3x \\ 3(18) \\ 54[/tex]
‣That fr is the answer, 54.
if angle 4 =2x+7 and. angle 8 =3x-13 find x for both equations
Answers
Answer:
2x +3x =7-13=4+8
Step-by-step explanation:
5x= -6= 12
Please help me I’ll mark you brainiest
Answers
Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
Step-by-step explanation:
In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint
of FG. If mZHJF 10x + 36, and mZEGJ = 6x + 44, what is the measure
of ZHJF?
F
H
J
E
G
Answers
Answer:
m<HJF = [tex]56^{o}[/tex]
Step-by-step explanation:
From the given diagram, ΔFHJ is similar to ΔFEG. So that;
m<HJF = m<EGJ
⇒ 10x + 36 = 6x + 44
10x - 6x = -36 + 44
4x = 8
x = [tex]\frac{8}{4}[/tex]
x = 2
Substitute the value of x in the expression for m<HJF to have,
m<HJF = 10x + 36
= 10(2) + 36
= 20 + 36
m<HJF = [tex]56^{o}[/tex]
The measure of angle HJF is [tex]56^{o}[/tex].
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answers
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
PLEASE I WILL MARK BRAINLIEST
JUST TELL ME HOW TO SLOVE IT
Answers
Answer:
x=5
Step-by-step explanation:
So first we want to find x by itself, so we can subtract 4 from both sides:
x=5
That is your simple answer!
Step-by-step explanation:
[tex] \huge{ \sf{x + 4 = 9}}[/tex]
~ Move 4 to right hand side and change it's sign :
⟼ [tex] \huge{ \sf{x = 9 - 4}}[/tex]
~ Subtract 4 from 9
⟼ [tex] \huge{ \sf{x = 5}}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
Answers
Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
The gas in Dads car holds 12 gallons. Athe gas tank in Moms truck holds 50% more than that. How much gas does the truck's tank hold? Explain why this situation can be represented by the equation. Make sure that you explain what t represents.
Answers
Answer:
18 gallons
Step-by-step explanation:
Step one:
given data
The gas in Dad's car holds 12 gallons
the gas tank in Moms truck holds 50% more than that in Dad's car
Hence 50% of 12 is
=50/100*12
=0.5*12
= 6 gallons
We are told that the gas tank in Moms truck holds 50% more than that in Dad's car
Therefore Mum's car will hold
=12+6
=18 gallons
srry if the picture is a little blurry
Answers
18.4(x-8)=-32+4**
- Many Solutions
- No Solution
- One Solution
19.-(3-6x)=6x+5 *
- One Solution
- No Solution
- Many Solutions
Can someone plz help me on this it’s due soon :)
Answers
Answer:
18. one solution 19. No solutions
Step-by-step explanation:
Regina carns $7.25 per hour for babysitting her little sister how many hours must Regina work to earn $464
Answers
Answer:
64
Step-by-step explanation:
464 / 7.25 = 64
i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time
Answers
Answer:
70 * 2.5 = 175
80 * 3.5 = 280
175 + 280 = 455 miles all together
Step-by-step explanation:
I hope this helps :)
Please helpoppplllll mei need to complete this I will give brainly
Answers
Answer:
(5,-6) I think
Step-by-step explanation:
Help please!!!!
mPSQ=
312
48
132
Answers
Answer:
312°
Step-by-step explanation:
PSQ = 360°- mPAQ
at mPAQ=mSAR
so PSQ =360°-48°=312°
Answer:
Answer:
312°
Step-by-step explanation:
In this it says to find the measure of PSQ
That means the arc starts at P goes through S and ends at Q.
In this case the only section of the circle that is not included is ∠PAQ
∠PAQ is 48° due to reflexive property
Now subtract 48 out of 360
360 - 48 = 312
312° is you answer
Hope this helps
Step-by-step explanation:
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answers
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
NERDS HELP ME !!!!!!!!
Answers
Answer:
63 it's the closest
Step-by-step explanation:
Answer:
the answer is 21 π
Step-by-step explanation:
[tex]V= \pi r^{2} \frac{h}{3}[/tex]
r=3
h=7
7/3 x 3^2 = 21
=21π
Please help i dont get this
Answers
Answer:
11-2m
Step-by-step explanation:
33-6m/3
= 3(11-2m)/3
= 11-2m (the 3 cancels out)
Convert into degrees. 9pi/6
Answers
Answer:
270 degrees
Step-by-step explanation:
Take note that to convert Pi to Radians you need to use the formula of
180 degrees = Pi radians
Therefore if you have 180 degrees multiplied by 9 Pi over 6 you get the degree measurement of 270
I believe, The answer to your question is:
B. 270°
Hope I helped! Have a fantastic day! Bye, you got this! :)
Write the exponent for the expression.
6×6×6×6×6×6×6
The exponent for the expression is _
Answers
Answer:
6^7
Step-by-step explanation:
The number 6 is being multiplied 7 times, so, the exponent would be 7. Hope this helps :)
6 to the 7th power I think