A 50 foot tree asts its shadow 75 feet long. How can you find sine for the angle of elevation determined by the sun and the top of the tree?

- cutiecomittee123

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- schrodinger

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- anonymous

what grade u in ??

- Here_to_Help15

@*ImaBeMe* I find that irrelevant,if your not going to help please hit that log out option and annoy someone else.

- jim_thompson5910

hint:
|dw:1441844647460:dw|
solve for \(\Large \theta\)

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- cutiecomittee123

I agree please leave if you arent willling to help I am trying to keep my schedule organized and I actually am in need of help. this is not a dating website.

- Here_to_Help15

@ganeshie8 @jim_thompson5910

- jim_thompson5910

another hint:
|dw:1441844715344:dw|

- anonymous

ok i just asked dang

- cutiecomittee123

this is precalculus incase youre wondering.

- jim_thompson5910

if you aren't familiar with the trig ratios, this chart may help
http://passyworldofmathematics.com/Images/pwmImagesSix/TrigRatiosSix550x389JPG.jpg

- cutiecomittee123

alright so sinfeta=50/x

- cutiecomittee123

then take the inverse right?

- cutiecomittee123

@jim_thompson5910

- jim_thompson5910

theta = \(\Large \theta\)
it's a greek letter

- cutiecomittee123

Oh gotcha

- jim_thompson5910

which two sides are known to us? (pick between opposite, adjacent, hypotenuse)

- cutiecomittee123

we know opposite and adjacent. which are opposite=50 and adjacent=75

- jim_thompson5910

yep, which trig function uses opposite and adjacent?

- cutiecomittee123

but it is asking to find sine

- jim_thompson5910

oh I see, I was thinking they just wanted theta, nvm

- jim_thompson5910

ok so you'll need the hypotenuse first because sin(theta) = opp/hyp

- Here_to_Help15

Wait up i remember this in Geometry, are you sure it isnt Geometry

- jim_thompson5910

so use the pythagorean theorem to find x
|dw:1441845085421:dw|
a^2 + b^2 = c^2
50^2 + 75^2 = x^2
x = ???

- cutiecomittee123

you do learn this in geometry, if you want to try and give it a shot, i wont stop you lol

- cutiecomittee123

c=90.14

- cutiecomittee123

sintheta=50/90.14

- jim_thompson5910

you have one more step to go

- cutiecomittee123

uhh that is where i need help

- cutiecomittee123

dont you just take the inverse

- jim_thompson5910

use a calculator to compute 50/90.14

- cutiecomittee123

okay i got .5546

- jim_thompson5910

I'm getting 50/90.14 = 0.55469270024407 which rounds to 0.5547

- cutiecomittee123

yes!

- cutiecomittee123

and that is what the angle sin is equal to right?

- jim_thompson5910

that decimal value is equal to \(\Large \sin(\theta)\), yes

- cutiecomittee123

okay cool, and that is it right?

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