what is the tangent ratio for

Mathematics
- mckenzieandjesus

what is the tangent ratio for

Mathematics
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- mckenzieandjesus

|dw:1435093915953:dw|

- freckles

is H the same as h?

- mckenzieandjesus

yes

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## More answers

- freckles

ok do you know what side is not touching angle H (this is the opposite side)
what measurement does this side have?

- mckenzieandjesus

5?

- freckles

yes the opposite side measurement is 5
now we just need to identify the adjacent side and it's measurement

- freckles

the adjacent side is the side touching the angle (that isn't the hyp)

- mckenzieandjesus

12?

- freckles

that is right

- freckles

now you just put your opp/adj
and you have your tangent ratio

- freckles

for angle h that is :)

- freckles

or H

- freckles

since H=h

- mckenzieandjesus

do i do 5/12

- freckles

yep

- mckenzieandjesus

it says 0.4166666667

- freckles

I would leave it as just 5/12

- freckles

are you suppose to round it ?

- mckenzieandjesus

oh 5/12 is the answer lol

- mckenzieandjesus

no lol

- freckles

yes we already found the tangent of angle h earlier
it look like you were trying to round the answer

- mckenzieandjesus

Thank you!(: can u help me with one more?

- freckles

maybe

- freckles

:p

- mckenzieandjesus

i thought u were telling me to divide the two lol

- mckenzieandjesus

sorry got confused but the answer is 5/12

- freckles

well 5/12 is a fraction or a division of 5 by 12
but 5/12 is as pretty as the answer will come for that one since it is a repeating decimal

- freckles

but anyways what is your other qustion

- mckenzieandjesus

yeah i see that now thanks

- mckenzieandjesus

it is triangle ABC, AB= 3 and AC=9. Find M

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- freckles

is this another right triangle?

- mckenzieandjesus

|dw:1435094633296:dw|

- mckenzieandjesus

yes

- freckles

|dw:1435094708365:dw|

- mckenzieandjesus

i think

- freckles

yes that is a right triangle
(it has a 90 deg angle there)

- mckenzieandjesus

ok

- freckles

anyways can you identify the sides that are given with respect to the angle in question (that angle being B)

- freckles

the words I want you to use are:
opposite
adjacent
hyp

- freckles

|dw:1435094797116:dw|
what side is this in the picture?

- mckenzieandjesus

opposite?

- freckles

now you are suppose to be looking at the angle B
and I'm asking about the side whose measurement is 3

- freckles

that side is actually touching the angle in question

- mckenzieandjesus

adjacent?

- freckles

yes!

- freckles

|dw:1435094881006:dw|
now what about the side whose measurement is 9

- mckenzieandjesus

ok so 3 adjacent and opposite 9 and hyp b?

- freckles

the hyp is the side BC ( the hyp is the side always opposite the 90 deg angle)

- freckles

but yes to your other questions

- mckenzieandjesus

oh bc i ment

- freckles

so we are given opp and adj measurements
so I suggest using the tangent ratio again

- mckenzieandjesus

3/9?

- freckles

|dw:1435094982296:dw|

- freckles

opp is 9
and adj is 3
not the other way around

- mckenzieandjesus

oh so 9/3

- freckles

yes tan=opp/adj

- mckenzieandjesus

do i divide?

- freckles

amyways you want to solve that equation above
and actually yeah it is pretty easy to find a prettier form for 9/3
we call that 3
tan(B)=3

- freckles

now you want to solve for B

- freckles

so take arctan( ) of both sides

- freckles

\[\tan(B)=3 \implies B=\arctan(3)\]

- mckenzieandjesus

how would i solve that on calculator?

- mckenzieandjesus

my answer choices are 58, 18, 52, 72

- freckles

well sometimes the arctan( ) can be done by pressing shift (or 2nd) and then the tan button

- mckenzieandjesus

so put tan(3) then what?

- freckles

no

- freckles

arctan(3)

- mckenzieandjesus

i dont have arctan on my calc

- freckles

you should see arctan( ) above tan on your calculator

- mckenzieandjesus

theres in above tan

- freckles

like in maybe a different color

- freckles

in?

- freckles

what kind of calculator do you have?

- mckenzieandjesus

yea the button says in

- freckles

maybe I can find a picture of your calculator online and tell you how to use it

- mckenzieandjesus

it says casio fx-115ES PLUS

- mckenzieandjesus

OK

- freckles

according to this calculator you should see
arctan( ) above tan( )
they just call it
\[\tan^{-1}[ F]\]
both of these are the inverse functions of tan
they are the same function just different notation

- freckles

it is below the Ln key that you call in

- freckles

to access the tan^(-1) thing
you need to press shift

- mckenzieandjesus

got it

- mckenzieandjesus

i got 79.5

- mckenzieandjesus

oh it was ln not in oops

- freckles

you did 3
then arctan( ) and you got 79.5?

- mckenzieandjesus

79.51672353

- freckles

you should do something like this:
second
tan
3
or it might be the other way on yours
3
second
tan

- freckles

http://www.wolframalpha.com/input/?i=arctan%283%29

- mckenzieandjesus

it tan^-1 then 3

- freckles

you should be getting 71.57 deg

- mckenzieandjesus

weird.. nope i got that number above and i typed it in exactly that way..

- mckenzieandjesus

so the answer is 72?

- freckles

yea but it is important you figure out your calculator

- freckles

you might have to use it on a test

- mckenzieandjesus

well i typed it in right.

- freckles

so when you typed it all in
it said this:
\\[\tan^{-1}(3)\]

- freckles

no other things in it

- mckenzieandjesus

yep

- mckenzieandjesus

without /

- freckles

lol
that is not suppose to be there

- mckenzieandjesus

ok lol but yep thats what i typed

- freckles

ok
hmmm:
I looked up your little support pdf for your calculator
it says you should do this to find arctan(3):
shift
tan
)
=

- mckenzieandjesus

i did that too

- freckles

well cookies!

- mckenzieandjesus

help please? i believe its 35. A child lies on the ground and looks up at the top of a 17-ft tree nearby. The child is 14 ft away from the tree. What is the angle of elevation from the child to the top of the tree? Round to the nearest whole degree.

- mckenzieandjesus

yeah thats really weird

- mckenzieandjesus

##### 1 Attachment

- mckenzieandjesus

actually i think i got that one but need help with my last question

- freckles

ok if you insist

- mckenzieandjesus

Find the value of x to the nearest tenth.
6.0
8.0
10.9
13.3
|dw:1435096370432:dw|

- freckles

and I did get a different answer for that previous one

- freckles

well you are given the hyp measurement
so you can think about using either sin of cos

- freckles

sin or cos*

- freckles

let's look at the angle whose measurement is 53 deg

- freckles

what is the side whose measurement is x called?
choices:
adjacent
opposite
hyp

- mckenzieandjesus

cos i believe

- mckenzieandjesus

you did what was it?

- mckenzieandjesus

adjacent?

- freckles

I have gotten arctan(17/14) for the previous one
I wonder if you are getting something different again on your calculator for that
and for this question |dw:1435096613252:dw|
you can not call this adjacent (it isn't touching the angle that I asked you to look at)

- mckenzieandjesus

for the child one? opposite sorry

- freckles

yes and yes

- freckles

let's talk about one problem at a time

- freckles

we will come back to the child one (because you know it might get confusing )

- freckles

|dw:1435096741024:dw|
that one side is always the hyp no matter what angle we decide to look at

- freckles

anyways opp/hyp you should think sin function

- mckenzieandjesus

the only answers i have fot the child one is 55 degrees, 35 degrees, 51 degrees, and 39 degrees.

- mckenzieandjesus

got*

- freckles

\[\sin(53^o)=\frac{x}{10}\]

- freckles

yes arctan(17/14) does give one of those answers

- freckles

|dw:1435096879182:dw|

- mckenzieandjesus

its 51 degrees i thought it was either that or 35 degrees and went with 35 oops thank u!

- mckenzieandjesus

so for the other question do i type sin(53) in?

- freckles

well you need to multiply both sides by 10 to get x by itself

- freckles

and yes you can type in sin(53) but you will need to multiply that result by 10

- mckenzieandjesus

so 7.39631095?

- mckenzieandjesus

would it be 8.0?

- freckles

that is almost kinda close to what I got
I have 7.986 blah blah

- freckles

which is pretty darn close to 8
we got to figure out what is going on with your calculator

- freckles

what does your calc say when you enter in just sin(53)

- mckenzieandjesus

0.739631095

- freckles

hmmm...

- freckles

that is really weird
should be getting 0.7986355100

- mckenzieandjesus

but the real answer that comes up on that site link u gave me is showing what u got

- mckenzieandjesus

Yeah i dont know whats wrong with this calculator.. maybe thats why ive gotten answers wrong many times on homework

- mckenzieandjesus

The answer is 8.0 then but i really dont know what my calc is doing

- freckles

yeah the answer is 8

- freckles

i have no double about that

- freckles

and your mode is in deg?

- freckles

just figured out your problem

- freckles

I was able to duplicate your answer for sin(53)

- freckles

not degrees

- freckles

change the mode and you fixed your problemd

- freckles

you have your mode in grads*
we need degrees
let's see if I can give instructions
---
hmmm...
you should see mod then deg (and that is what you want but looking it up)

- freckles

oh you left :p

- campbell_st

if you want to change to degrees
Press
shift setup(Mode)
then choose 3 Deg

- mckenzieandjesus

im here

- mckenzieandjesus

ok i just changed my mode.

- mckenzieandjesus

yay the answer is right on my calc now. thank you so much !

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