The world’s largest tree by volume, named General Sherman, stands 274.9 feet tall and resides in Northern California.
Source: National Park Service. "The General Sherman Tree." http://www.nps.gov/seki/naturescience/sherman.htm. Accessed April 25, 2014. Just how do scientists know its true height? A common way to measure the height involves determining the angle of elevation, which is formed by the tree and the ground at a point some distance away from the base of the tree. This method is much more practical than climbing the tree and dropping a very long tape measure.

In this chapter, we will explore applications of trigonometry that will enable us to solve many different kinds of problems, including finding the height of a tree. We extend topics we introduced in
Trigonometric Functions and investigate applications more deeply and meaningfully.

I've run into this:
x = r*cos(angle1 + angle2)
Which expands to:
x = r(cos(angle1)*cos(angle2) - sin(angle1)*sin(angle2))
The r value confuses me here, because distributing it makes:
(r*cos(angle2))(cos(angle1) - (r*sin(angle2))(sin(angle1))
How does this make sense? Why does the r distribute once

this is an identity when 2 adding two angles within a cosine. it's called the cosine sum formula. there is also a different formula when cosine has an angle minus another angle it's called the sum and difference formulas and they are under any list of trig identities

Brad

How can you tell what type of parent function a graph is ?

generally by how the graph looks and understanding what the base parent functions look like and perform on a graph

William

if you have a graphed line, you can have an idea by how the directions of the line turns, i.e. negative, positive, zero

William

y=x will obviously be a straight line with a zero slope

William

y=x^2 will have a parabolic line opening to positive infinity on both sides of the y axis
vice versa with y=-x^2 you'll have both ends of the parabolic line pointing downward heading to negative infinity on both sides of the y axis

William

y=x will be a straight line, but it will have a slope of one. Remember, if y=1 then x=1, so for every unit you rise you move over positively one unit. To get a straight line with a slope of 0, set y=1 or any integer.

Aaron

yes, correction on my end, I meant slope of 1 instead of slope of 0

Typically a function 'f' will take 'x' as input, and produce 'y' as output. As
'f(x)=y'.
According to Google,
"The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain."

Thomas

Sorry, I don't know where the "Â"s came from. They shouldn't be there. Just ignore them. :-)

Thomas

GREAT ANSWER THOUGH!!!

Darius

Thanks.

Thomas

Â

Thomas

It is the Â that should not be there. It doesn't seem to show if encloses in quotation marks.
"Â" or 'Â' ... Â

I've been struggling so much through all of this. my final is in four weeks 😭

Tiffany

this book is an excellent resource! have you guys ever looked at the online tutoring? there's one that is called "That Tutor Guy" and he goes over a lot of the concepts

Darius

thank you I have heard of him. I should check him out.

Tiffany

is there any question in particular?

Joe

I have always struggled with math. I get lost really easy, if you have any advice for that, it would help tremendously.

Tiffany

Sure, are you in high school or college?

Darius

Hi, apologies for the delayed response. I'm in college.

The center is at (3,4) a focus is at (3,-1) and the lenght of the major axis is 26 what will be the answer?

Rima

I done know

Joe

What kind of answer is that😑?

Rima

I had just woken up when i got this message

Joe

Can you please help me. Tomorrow is the deadline of my assignment then I don't know how to solve that

Rima

i have a question.

Abdul

how do you find the real and complex roots of a polynomial?

Abdul

@abdul with delta maybe which is b(square)-4ac=result then the 1st root -b-radical delta over 2a and the 2nd root -b+radical delta over 2a. I am not sure if this was your question but check it up

Nare

This is the actual question: Find all roots(real and complex) of the polynomial f(x)=6x^3 + x^2 - 4x + 1

Abdul

@Nare please let me know if you can solve it.

Abdul

I have a question

juweeriya

hello guys I'm new here? will you happy with me

mustapha

The average annual population increase of a pack of wolves is 25.

Period =2π
if there is a coefficient (b), just divide the coefficient by 2π to get the new period

Am

if not then how would I find it from a graph

Imani

by looking at the graph, find the distance between two consecutive maximum points (the highest points of the wave). so if the top of one wave is at point A (1,2) and the next top of the wave is at point B (6,2), then the period is 5, the difference of the x-coordinates.

Am

you could also do it with two consecutive minimum points or x-intercepts