Observer

The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m.

How far is it from the other end of the fence?

Final Answer:

x =  139.9 m

Step-by-step explanation:

a=119 m l=70 m α=30    sin αsin β = la sin β = la sin α = s  s=la sinα=la sin30° =70119 sin30° =70119 0.5=0.85 β=π180°arcsins=π180°arcsin0.8558.2117  γ=180αβ=1803058.211791.7883    sin βsin γ=ax  x=a sinβsinγ=a sin58.211669382948° sin91.788330617052° =119 sin58.211669382948° sin91.788330617052° =119 0.850.999513=139.9=139.9 m

Try calculation via our triangle calculator.




Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to convert length units?
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:

algebraarithmeticplanimetrybasic operations and conceptsnumbersgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: