Answer:
60
Step-by-step explanation:
I'm assuming that ED is an exactly straight line, that would mean the angle is 180 degrees. So the sum of the angles in between should also equal 180. This gives you the equation
100 + 20 + x = 180
120 + x = 180
60 = x
The height of the ballon is 34 feet 2 inches.
To be able to solve this question, we need to understand the concept of angle of elevation.
<h3>What is the angle of elevation?</h3>
An angle of elevation is the angle formed between the horizontal plane (adjacent line) to the line of sight(elevation) from the viewer's eye to the object located in the space.
- The diagrammatic expression for the question given can be seen in the image attached below.
From the image below, we can determine the height of the ballon by taking the tangential trigonometric function.


Let's first convert 14 ft 6 in to ft, by doing so, we get 14.5 ft

x = tan 67 (14.5 ft)
x = 2.356(14.5 ft)
x =34.162 ft
To ft and inches, we have:
x = 34 ft 2 inches
Learn more about angles of elevation here:
brainly.com/question/25748640
Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
<h3>Proporions and fractions</h3>
From the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
Learn more on proportions here: brainly.com/question/19994681
C because 6-3=3-1/4=2 3/4 so c