so there's a right triangle
90 degrees in the bottom left
30 degrees bottom right
15 in length
unknown adjacent
unknown hypotenuse
so i did sin(30) = 15/b
15/sin(30)=30=b
and did tangent(30)=15/a
15 * tan(30)= 8.66=a
is this correct?
so there's a right triangle
90 degrees in the bottom left
30 degrees bottom right
15 in length
unknown adjacent
unknown hypotenuse
so i did sin(30) = 15/b
15/sin(30)=30=b
and did tangent(30)=15/a
15 * tan(30)= 8.66=a
is this correct?
Using tangent, you have 2 ways to find "a"
$\displaystyle tan30^o=\frac{15}{a}$
$\displaystyle \frac{tan30^o}{1}=\frac{15}{a}$
$\displaystyle \frac{1}{tan30^o}=\frac{a}{15}$
Now multiply both sides by 15.
Or....
$\displaystyle tan30^o=\frac{15}{a}$
first multiply both sides by "a"
$\displaystyle atan30^o=\frac{15a}{a}=15$
Finally divide both sides by $\displaystyle tan30^o$ to get "a".
Notice from your diagram that "a" should certainly be longer than 15 units.