Find the tangent of ∠V.
I know what tan is
Tan= opp/ adj
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
Ok
|dw:1618591969250:dw|
8^2+29^2
no 8 is your HYPOTENUSE which would be 'c' a and b are the two legs of the triangle
So a^2+29^2=8^2
be careful, it's not 29. It's square root of 29 or \(\sqrt{29}\)
and you should know this: \((\sqrt{x})^2 = x\) if you try to square a square root, they basically cancel out
Ok
so \( (\sqrt{29})^2 + x^2 = 8^2\) can you solve for x?
29*29
29*29
no what is \( (\sqrt{29})^2 = \)
and what is 8^2 = ?
The first one is 156
Second one is 64
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?
64-29
yes what is that? and remember to take the square root on both sides after that
58.1
do you have a calculator??
Nah
so if x^2 = 64 - 29 then x is going to be sqrt(64-29) does that make sense?? so what is 64 - 29 = ??
35
so that means that the side is sqrt(35) so we now have |dw:1618595138991:dw| so what is tan V = ?
8/29
What side is OPPOSITE the angle V? and what side is ADJACENT?? |dw:1618595477448:dw|
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 \(\Large \sqrt{35}\)
So confused
What are you confused about? Have you not learned about square roots?
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