SOLUTION: ΔABC is a right triangle , with ∠C being the right angle.m∠A=29°, b=8, find a. a. 14.4 b. 4.4 c. 3.9

Algebra ->  Trigonometry-basics -> SOLUTION: ΔABC is a right triangle , with ∠C being the right angle.m∠A=29°, b=8, find a. a. 14.4 b. 4.4 c. 3.9      Log On


   

Question 1089135: ΔABC is a right triangle , with ∠C being the right angle.m∠A=29°, b=8, find a.
a. 14.4 b. 4.4 c. 3.9
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
ΔABC is a right triangle , with ∠C being the right angle.m∠A=29°, b=8, find a.
----------------------
Assuming side a is opposite angle A:
tan(A) = a/b

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Draw out the triangle



The known side (b = 8) and the unknown side (side 'a') are legs of the right triangle.

We will use the tangent function.

tan(angle) = opposite/hypotenuse
tan(A) = a/b
tan(29) = a/8
8*tan(29) = a
a = 8*tan(29)
a = 4.43447241162216
a = 4.4

Therefore side 'a' is roughly 4.4 units long