The farmer

The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence?

Correct answer:

c1 =  99.2703 m
c2 =  60.0784 m

Step-by-step explanation:

a=50 m α=30  b=92 m  a2 = b2+c22 b c cos α  k=2 b cosα=2 b cos30° =2 92 cos30° =2 92 0.866025=159.34867 m  a2=b2+c2k c  502=922+c2159.34867429634 c c2+159.349c5964=0 c2159.349c+5964=0  p=1;q=159.349;r=5964 D=q24pr=159.3492415964=1536.0000000009 D>0  c1,2=2pq±D=2159.35±1536 c1,2=79.674337±19.595918 c1=99.27025509=99.2703 m c2=60.078419206

Our quadratic equation calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: