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?

Final Answer:

c1 =  119.9416 m
c2 =  56.7276 m

Step-by-step explanation:

a=60 m α=30  b=102 m  a2 = b2+c22 b c cos α  k=2 b cosα=2 b cos30° =2 102 cos30° =2 102 0.866025=176.66918 m  a2=b2+c2k c  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=88.334591±31.606961 c1=119.941552445 c1=c2=56.727629927=119.9416 m

Our quadratic equation calculator calculates it.


Try calculation via our triangle calculator.




Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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

algebraplanimetricsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: