Trigonometry Pt 3 - Angles of Elevation and Depression

In this video we continue our introduction to trigonometry by looking at angles of elevation/depression, and several trigonometry word problems. If you need a refresher on basic trig, or inverse trig, please check out the videos linked below.
As always, if you enjoy this video or find it helpful please give it a like and let me know in the comments. While you're here you may want to check out my other math tutorial videos, Math Raps, or some of my VLOGS. If you enjoy what you find please consider subscribing to the channel.
Trigonometry Pt 1: Basic Trig Introduction: • Trigonometry Pt. 1 - S...
Trigonometry Pt 2: Inverse Trig Introduction: • Trigonometry Pt 2 - In...
Trigonometry Pt 3: Angles of Elevation/Depressions: • Trigonometry Pt 3 - An...
Trigonometry Pt 4: Double triangle trig: • Trigonometry Pt 2 - In...
Trigonometry Pt 5: Law of Sines: • Trigonometry Pt 5 - La...
#Math
#Trigonometry
#MathHelp

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Me

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*10 minutes

[@AngraMan]

I used to get totally confused to work out the angle of depression and evaluation but now from your video I get to understand and I want more of your video. Thanks

[@RealMikeDobbs]

Oh that's terrific. Thanks so much for letting me know, I'm glad the video helped you understand 😄

[@aamarahb6367]

the angles of depression gave me depression so im the person sitting at the top of a building lol

[@RealMikeDobbs]

Well, take heart because the angle of depression and the angle of elevation are congruent, so even when you feel like you're looking down, you're also the person looking up to a bright future : )

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[@RealMikeDobbs]

That’s terrific to hear, I’m so glad it helped you. Thanks for letting know 😀

[@donsamanthaomg]

my teacher didn't even mention the fact that you have to keep the angle of depression outside of the original triangle. tysm I finally understand this topic

[@RealMikeDobbs]

That's terrific- glad the video helped you. Thanks for letting me know 😄

[@mikuculus3720]

This was really helpful! Granted, I knew all the information, just didn’t know how to set up the problem, which is like the main part. Great video!

[@RealMikeDobbs]

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[@reddiredd3]

Really easy and straight forward, this video helped me to visualize the idea of what is really meant by the Angles of Elevation and Depression, that horizontal line was so much important.

[@RealMikeDobbs]

Thanks so much for letting me know- glad to hear it helped you out 😀

[@aryannargotra153]

Thank you so much you helped me understand it so clearly. Now I can give my exam with confidence tomorrow.

[@RealMikeDobbs]

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[@RealMikeDobbs]

Why thank you! So glad you found it helpful 😀

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[@RealMikeDobbs]

Thank you so much 😀
Glad to hear the video helped you.

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[@RealMikeDobbs]

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Thank you so much as I am grateful

[@RealMikeDobbs]

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[@RealMikeDobbs]

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[@RealMikeDobbs]

That's fantastic- thanks for letting me know 😄

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The questions that you used oddly were similar to the ones I had that I didn't understand making this 10× easier fir me

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[@RealMikeDobbs]

Haha- so glad you found it helpful 😀

[@davidhill8163]

Many thanks this was a great help as I was tripping up on the angle of depression

[@RealMikeDobbs]

You’re very welcome! I love hearing about how these vids help people. Thanks for watching and commenting 😀

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Also sorry i have a test tommorow but im note understanding how the 10,000ft away at the end is on the sideways line inside of the ground? wouldnt it be if you. OH Shoot as im typing this im thinking and now i understand. Its because the little stick dude is all the way in a air ballon. not on the ground

[@RealMikeDobbs]

Sounds like you figured it out. Glad the video helped you, hope that test went well 😀

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[@RealMikeDobbs]

Haha, I draw terrible pictures, that's why I became a math teacher 🤣
Glad it helped you out 😄

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[@musiceditsgeorgemichlarchi2058]

One paper this works since angle and one length is given but in real life, if given the hyponuese, angles becomes useless. Climbing a tree is easier than using a tiny protractor on meters long paper to measure angle.

[@RealMikeDobbs]

Hey, thanks for watching and commenting 😀
I’m not sure I follow exactly what you’re saying. In practice it’s much easier to measure angles in real life than it is to measure distances. I suppose it all depends on what you’re trying to do. These days if you wanted to know how tall something is you could just send up a drone with an altimeter- but if you go back 40 years or so, it would be much easier and more practical to measure a distance away from the tree on the ground and then measure the angle of elevation and use some trig. That’s more or less how all maps were created before we had GPS. Surveyors would pace or measure out distances along the ground, and then measure angles between points to calculate other distances.
Climbing tall objects also introduces many risks that walking on the ground does not.
It’s also worth noting these are sanitized examples designed to allow HS students to practice basic skills and don’t accurately represent the many additional complications you would encounter in the real world. For example, over long enough distances you need to start taking the curvature of the earth into account depending on how accurate you need your eventual calculations to be.

[@rumbidzaichikasha3019]

i want to know how to use the caculator while working this out

[@RealMikeDobbs]

The first video in my Trig series covers that: th-cam.com/video/oOoWgEcyYqs/w-d-xo.html

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Hooray! Hope you found it helpful 😀

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[@aminasuriya2524]

Hi I am sorry to ask that but I didn't understand how did u got 353

[@RealMikeDobbs]

That's just plugging into the calculator and using the Tangent function. If you aren't sure how to do that, you may want to check out my trig introduction video: th-cam.com/video/oOoWgEcyYqs/w-d-xo.html

[@Leo-gv4jo]

This helped because i have a test in a few hours and i realized i never learnt the work idk i didnt get the memo we did this apparently

[@RealMikeDobbs]

Well I'm glad to have been able to help. Good luck on your test 😄

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@@RealMikeDobbs ive already finished the test and im 100% sure i got that question right

[@RealMikeDobbs]

Way to go!

[@kaeelle]

9:29 leaning tower of pisa

[@RealMikeDobbs]

That's fair 🤣
I'm better at math than at drawing, but as I always tell my students: it doesn't matter if your picture is good, it only matters if it's useful.

[@ponzas6229]

I got 247 for the first problem, I put 150Tan(67)=

[@RealMikeDobbs]

Easy fix- you’re in Radian (Rad) mode. Radians are a different way to measure angles. You need to change your calculator to degree mode when working in degrees.

[@jamalwilson8952]

Use full video

[@RealMikeDobbs]

Why thank you 😄

[@luthandongcobo6550]

he is really good at this but I had a problem with him talk to fast for me to even calculate for myself and try to see if I understand and maybe u should maybe give us a minute to try and answer the question

[@RealMikeDobbs]

Thanks for watching 😀
I’m sorry you felt the pace was too fast. Since everyone works at a different pace- what I try to do is keep the video moving with the understanding that you can pause at any time. When working through the problems in a video I would recommend you pause it after the problem has been presented. Try to set it up yourself, then play forward and see if you set it up the way I did. Then, pause again before I work out the Algebra and do your own Algebra. Then play to see if we arrived at the same result. Otherwise the videos become too long and I feel a lot of people won’t watch an hour long video on a topic.

[@luthandongcobo6550]

@@RealMikeDobbs
Now I understand why u fast but u really good at this
and I learn't a lot on the video and want to thaank u for making me understand the concepts

[@RealMikeDobbs]

Thanks so much- I’m really glad the videos are helping you understand 😀

[@14oznalgenewaterbottle]

my takeaway from the vid: ALWAYS DRAW THAT HORIZONTAL LINE!

[@RealMikeDobbs]

Yes! There ya go 👍

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[@RealMikeDobbs]

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Well I do now 🤣
I googled him after your comment- watched the hide and seek video with the fridge prize- very entertaining 👍

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