Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

find the exact value of tan 30 degrees w/o calculator

Sagot :

[tex]Look\ at\ the\ picture.\\\\tan30^o=\frac{\frac{a}{2}}{\frac{a\sqrt3}{2}}=\frac{a}{2}:\frac{a\sqrt3}{2}=\frac{a}{2}\cdot\frac{2}{a\sqrt3}=\frac{1}{\sqrt3}\cdot\frac{\sqrt3}{\sqrt3}=\frac{\sqrt3}{3}[/tex]
View image Аноним
AL2006idn
Here is a mantra that I learned in Geometry class in high school.  We were
all very excited, as angles had been invented only a few years earlier:

In a 30-60 right triangle ...
the side opposite the 30 is half the hypotenuse
the side opposite the 60 is half the hypotenuse times the square root of three.

So the tangent of the 30 would be (opposite) / (adjacent) = (1/2h) / (1/2h√3) .

That's (1)/(√3) or (√3)/(3) .
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.