Posted by **STEPHANIE ** on Wednesday, September 28, 2011 at 5:05pm.

Given the indicated parts of triangle ABC with γ = 90°, approximate the remaining parts. (Round your answers for a and c to one decimal place.)

β = 51°31', b = 250.0

α = ° '

a =

c =

Given the indicated parts of triangle ABC with γ = 90°, approximate the remaining parts. (Round your answers for b and c to one decimal place.)

α = 27°50', a = 530

β = ° '

b =

c =

Given the indicated parts of triangle ABC with γ = 90°, express the third part in terms of the first two.

β, c; b

b =

Given the indicated parts of triangle ABC with γ = 90°, express the third part in terms of the first two.

α, a; b

b =

- MATH -
**Henry**, Friday, September 30, 2011 at 3:22pm
1. tanB = b/a = 250 / a,

a = 250 / tanB = 250 / tan51.52 = 198.7

A = 90 - 51.52 = 38.5 deg.

c = b / cosA = 250 / cos38.5 = 319.4.

2. B = 90 - A = 90 - 27.83 = 62.17 deg.

tanA = a / b = 530 / b,

b = 530 / tanA = 530 / tan27.83 = 1004.

c = a / sinA = 530 / sin27.83 = 1135.3.

3. sinB = b/c,

b = csinB.

4. tanA = a/b,

b = a/tanA.

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