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Mathematics 10 Online
Shay10:

Find the tangent of ∠V.

Shay10:

Shay10:

I know what tan is

Shay10:

Tan= opp/ adj

AZ:

Exactly, so tan V is going to be the side opposite / adjacent but first we have to calculate that opposite side since we have a right triangle, use Pythagorean theorem to solve for that side a^2 + b^2 = c^2

Shay10:

Ok

AZ:

|dw:1618591969250:dw|

Shay10:

8^2+29^2

AZ:

no 8 is your HYPOTENUSE which would be 'c' a and b are the two legs of the triangle

Shay10:

So a^2+29^2=8^2

AZ:

be careful, it's not 29. It's square root of 29 or \(\sqrt{29}\)

AZ:

and you should know this: \((\sqrt{x})^2 = x\) if you try to square a square root, they basically cancel out

Shay10:

Ok

AZ:

so \( (\sqrt{29})^2 + x^2 = 8^2\) can you solve for x?

Shay10:

29*29

Shay10:

29*29

AZ:

no what is \( (\sqrt{29})^2 = \)

AZ:

and what is 8^2 = ?

Shay10:

The first one is 156

Shay10:

Second one is 64

AZ:

No remember, it's SQUARE ROOT of 29 if we square the square root, we'll only be left with 29 so now we have 29 + x^2 = 64 can you solve for x?

Shay10:

64-29

AZ:

yes what is that? and remember to take the square root on both sides after that

Shay10:

58.1

AZ:

do you have a calculator??

Shay10:

Nah

AZ:

Do you have access to the internet??? https://www.google.com/search?q=64-29

AZ:

so if x^2 = 64 - 29 then x is going to be sqrt(64-29) does that make sense?? so what is 64 - 29 = ??

Shay10:

35

AZ:

so that means that the side is sqrt(35) so we now have |dw:1618595138991:dw| so what is tan V = ?

Shay10:

8/29

AZ:

What side is OPPOSITE the angle V? and what side is ADJACENT?? |dw:1618595477448:dw|

AZ:

also I don't know how many times I have to tell you but it is \(\Huge \text{NOT 29}\) It's \(\Large \sqrt{29}\) The same thing goes for 35, it's \(\Large \sqrt{35}\)

Shay10:

So confused

AZ:

What are you confused about? Have you not learned about square roots?

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