Example: Trig to solve the sides and angles of a right triangle | Trigonometry | Khan Academy

Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.

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Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

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[renzelpretzels]

I’m just amazed with how well he can draw with a mouse tbh

[-.._.-_...-_.._-..__..._.-.-.-]

When I type 5 × tan(65) into my calculator, I get -7.35.

Edit:
My calculator was set to radians. If you're having the same issue, you may be able to change the calculator mode to degrees by pressing the "mode" button and selecting "degree." Alternatively, you can multiply the angle by 0.0174532924 (or π/180) to convert it to radians.

radians = degrees × π ÷ 180
degrees = radians × 180 ÷ π

[Nickadoo]

I love you Sal Khan! So much I learned in just 3 minutes compared to learning NOTHING in 3 classes of Algebra and even reading the book! Thank you so much!

[Naja]

ok so i took my first trig test today and i totally forgot how to do this and froze up and im pretty sure i failed and now that i look at this video i feel so dumb cause its the easiest thing :(

[travisrobison]

Fantastic!!! I am getting into game development and it has been so hard to find what i needed. This video was perfect. Showed me how to rearrange an equation in order to solve for my needed value. Thank you so much!!!!

[frdj]

Im so glad that some people like you try to make a difference

[thelightthatshinesbright]

Oh you are a saviour! I honestly didn't get a word on what my teacher said about trigonometry. It's all so clear now.

[adrianadiaz]

6:06 is when they start to show you how to solve angles

[jonathangillooly]

This helps so much, and not just in math. When you get to 2d kinematics in physics, this becomes your best friend

[dylanbrown]

I’ve watched this video numerous times and I still don’t get it

[zhekhailiew]

With COVID-19 prompting school closures, Khan Academy is the only place i can learn math now.
Thank you so much

[newsaxonyproductions]

Glad to know I'm not the only one who tries to use the side with the exact & simple length that was given as opposed to my convoluted and shortened ones

[Sky_Gazer]

Hi... My question is :
Is it possible to find height and length (or one of these) of a right angle triangle if we are given only an angle (say 35 degrees) of the triangle? (Without googling on internet!!)
E.g I know the angle of a satellite (say) AsiaSat 105.5deg E is 34deg (angle of elv) and want to find the height and distance of this satellite from the Earth?
Thank's

[sippingGerber]

when I multiply 5 with Tan 65 I get -7.35. What am I doing wrong?

[lionelturner]

I wish I watched this video before I took my test today 😳

[bassault]

MY HERO!!!! MY KNIGHT IN SHINING ARMOR!!! Thank you!!!

[milibiedmamori]

Dude honestly you're the greatest

[nyoldigma]

I have a quiz tom and this helped me thank you sir 😀

[emmanuelwoodliff]

what app were you using to get the calculator used for this equation?

[aliyuuh]

i have a trig test 2morrow this help aLOTTT THANK YOU