Approximate the remaining parts....

Question

Given the indicated parts of triangle ABC with γ = 90°, approximate the remaining parts. (Round your answers to one decimal place.)
α = 32°, b = 12

 

a =
c =

Answer 1

tan α = a/b

tan α = a/12

tan 32° = a/12

12 tan 32° = a

12 ( 0.62486 ) = a

7.50 = a

 

Use Pythagoras to find c.

 

c² = a² + b²

c² = 56.25 + 144

c² = 200.25

c = 14.15