SOLUTION: (can you please show me how this question be solved. thank you!) Solve the following right triangles: a. a=117 ft, b=16.35 ft b. B=8 degrees 29',and a=32.8 ft

Algebra ->  Trigonometry-basics -> SOLUTION: (can you please show me how this question be solved. thank you!) Solve the following right triangles: a. a=117 ft, b=16.35 ft b. B=8 degrees 29',and a=32.8 ft       Log On


   

Question 389697: (can you please show me how this question be solved. thank you!)
Solve the following right triangles:
a. a=117 ft, b=16.35 ft
b. B=8 degrees 29',and a=32.8 ft

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,  



a. a=117 ft, b=16.35 ft  Applying the Pythagorean Theorem  a^2 + b^2 = c^2

  117^2 + 16.35^2 = c^2

 c = sqrt%2813689+%2B+267.32%29+=+highlight%28118.14%29

b. ∠B = 8° 29' OR (57°24' = (8° + 29/60)° = 8.4833° and a =  32.8 ft 

  cos(8.4833°) = adj/hyp = 32.8 /c

    c = 32.8/cos(8.4833°) = 33.16

May find a if You wish by Applying the Pythagorean Theorem

 a+=+sqrt%2833.15%5E2+-+32.8%5E2%29

Calculator makes short work of finding a