Viewing angle

The observer sees a straight fence 60 m long at a viewing angle of 30°. It is 102 m away from one end of the enclosure. How far is the observer from the other end of the enclosure?

Correct answer:

c1 =  119.9416 m
c2 =  56.7276 m

Step-by-step explanation:

a=60 m A=30  b=102 m  a2=b2+c22 b c cos(A)  k=2 b cosA°=2 b cos30° =2 102 cos30° =2 102 0.866025=176.66918 m  a2=b2+c2kc  602=1022+c2176.66918237203 c c2+176.669c6804=0 c2176.669c+6804=0  p=1;q=176.669;r=6804 D=q24pr=176.6692416804=3996.0000000017 D>0  c1,2=2pq±D=2176.67±3996 c1,2=88.33459119±31.606961258565 c1=119.94155244458=119.9416 m c2=56.72762992745   Factored form of the equation:  (c119.94155244458)(c56.72762992745)=0

Our quadratic equation calculator calculates it.

Try calculation via our triangle calculator.

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


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

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

Related math problems and questions: