Question

Imagine that you are outside one sunny day and are standing
10 feet away from a tree that is 8 feet tall. Which function correctly represents the angle θ you make with the tree?

θ=sin−1(8/10)

θ=cos−1(8/10)

θ=tan−1(8/10)

θ=sec−1(8/10)

Answer 1

Have you tried sketching a picture?

Answer 2

yea

Answer 3

@welshfella

Answer 4

so can you write a relation between theta(angle) , Perpendicular and base of right angled triangle ?

Answer 5

HINT :- Use Trigonometry

Answer 6

yea this is trigonometry

Answer 7

so write a relation between angles and sides ?

Answer 8

now what is the relation perpendicular to the base

Answer 9

sin? cos? tan? sec?

Answer 10

https://www.mathsisfun.com/sine-cosine-tangent.html

Answer 11

REMEMBER THIS :-
http://www.mathwords.com/s/sohcahtoa.htm

Answer 12

tan=opp/adj

Answer 13

correct !

Answer 14

so,
\[\large \bf \tan \theta=\frac{8}{10}\]

Answer 15

thats it?

Answer 16

ok

Answer 17

now, take inverse of it

Answer 18

to get angle THETA

Answer 19

@DaWizjr

Answer 20

Hey

Answer 21

How do I take the inverse

Answer 22

\[\large \bf \tan \theta=\frac{8}{10}\]
to take inverse, just shift tan to right hand side with its power negative,that's inverse
so,
\[\large \bf \theta=\tan^{-1} \frac{8}{10}=\color{red}{Answer}\]

Answer 23

yea that makes since

Answer 24

thanks

Answer 25

but this is not the actual method for taking inverse, i said incompletely because you are very small in the eyes of trig.
So, please don't ask me about INVERSE,

Answer 26

I might need you for more look out for me

Answer 27

sure , if i can

Answer 28

Yea I know its always a another complicated way

Answer 29

yup !