In the linear equation y= 3/4x + 2 what does 2 represent?
1 answer:
You might be interested in
I'll assume that what was meant was 
.
The exponent in the funny place is just an abbreviation:
.
I hope that's what you meant. Let me know if I'm wrong.
Let's start from the old saw
Squaring both sides,
So now the original question
becomes
Now we use the sine double angle formula
We square it to see
Taking the square root,
Not sure how you want it; we'll do it in degrees.
When we know the sine of an angle, there's usually two angles on the unit circle that have that sine. They're supplementary angles which add to
. But when the sine is 1 or -1 like it is here, we're looking at 
and 
, which are essentially their own supplements, slightly less messy.
That means we have two equations:
integer 
or
We can combine those for a final answer,
integer
Check. Let's just check one, how about
The exponent in the funny place is just an abbreviation:
I hope that's what you meant. Let me know if I'm wrong.
Let's start from the old saw
Squaring both sides,
So now the original question
becomes
Now we use the sine double angle formula
We square it to see
Taking the square root,
Not sure how you want it; we'll do it in degrees.
When we know the sine of an angle, there's usually two angles on the unit circle that have that sine. They're supplementary angles which add to
That means we have two equations:
or
We can combine those for a final answer,
Check. Let's just check one, how about
<h2>Hello!</h2>
The answer is:
The height of the lightning rod is 27.4 feet.
<h2>Why?</h2>To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.
So, writing the equations we have:
We know that the angle of elevation from the base of the buildings is 36°
Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.
Using the information we have:
To the top of the building:
To the top of the lightning rod:
Now, isolating we have:
Also, we have that:
Therefore, if we want to calculate the height of the lightning rod, we need to do the following:
Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:
Rounding to the nearest foot, we have:
Hence, the answer is:
The height of the lightning rod is 27.4 feet.
Have a nice day!