SOLUTION: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 14, c = 8, C = 30°
Algebra ->
Trigonometry-basics
-> SOLUTION: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 14, c = 8, C = 30°
Log On
Question 475239: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 14, c = 8, C = 30°
You can put this solution on YOUR website! Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 14, c = 8, C = 30°
---
sin(A)/a = sin(C)/c
---
sin(A) = (a/c)*sin(C)
---
sin(A) = (14/8)*sin(30)
---
sin(A) = 14/8*1/2 = 7/8
---
A = sin^-1(7/8) = 61.045 degrees
===================================
Cheers,
Stan H.
=================