SOLUTION: Draw a right angled triangle ABC with vertical side AB, horizontal side BC and <ABC = {{{90^o}}}. Let angle ACB = x degrees Given: {{{tan(x) = 20/100 = 0.2}}} and AB = 11 f

Algebra ->  Trigonometry-basics -> SOLUTION: Draw a right angled triangle ABC with vertical side AB, horizontal side BC and <ABC = {{{90^o}}}. Let angle ACB = x degrees Given: {{{tan(x) = 20/100 = 0.2}}} and AB = 11 f      Log On


   

Question 40819: Draw a right angled triangle ABC with vertical side AB,
horizontal side BC and . Let angle ACB = x degrees
Given: tan%28x%29+=+20%2F100+=+0.2
and AB = 11 ft
To find: BC
Note, BC%2FAB+=+cot%28x%29+=+1%2F%28tan%28x%29%29+=+1%2F0.2+=+5
or BC = AB%2A5+=+11%2A5 = 55 ft
Thus the horizontal run must be 55 ft long.
Answer by psbhowmick(878) About Me  (Show Source):