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
Answer:
8 + 
Step-by-step explanation:
From the phrase, the <em>answer</em> is smaller(less) by 8 when compared(equal (=)) to quotient of 5 and w ...
So:
Answer - 8 = quotient of 5 and w
Here, quotient is the whole number from a <em>division</em>. The division here is 
Therefore,
Answer - 8 = 
Answer = 8 + 
Hence the phrase into algebraic expression is 8 + 
180 - 85 = 95
Yep, you are all good!
Answer:
A = 2
Step-by-step explanation:
When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.
Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.
We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.
Testing out this works, we get:
6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)
We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!
I hope this helps! :)