Question

Could I find the two missing angle measures if I know some of the side lengths of a right triangle? I made my own example... im just not sure how to use TAN, COS, or SIN to solve it.

Answer 1

Yes. Fist use the Pythagorean Theorem\[a ^{2}+b^{2}=c ^{2}\] to find the measure of side AB. The use Cos(A)=ADJ/Hyp or Sin(A)=opp/hyp and use the inverse sine or cosine functions \[\sin^{-1} opp/hyp\] and that will give you the measure of A then do the same for angle B

Answer 2

3^2+5^2\[3^{2}+5^{2}=c ^{2}\]
\[9+25=c ^{2}\] solve for c
\[36=c^{2}\]
\[c=6\]

\[Sin(A)=\frac{ 3 }{ 6 }\]
\[\sin^{-1} (\frac{ 3 }{ 6 })=A\]
just plug into your calculator

Answer 3

Thankyou! :)