Question

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 =

Answer 1

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.