Determine 8133

Determine the distance between two places, M, and N, between which there is an obstacle so that place N is not visible from place M. The angles MAN = 130°, NBM = 109°, and the distances |AM| = 54, |BM| = 60, while the points A, B, and M lie on one straight line.

Correct answer:

x =  65.3113

Step-by-step explanation:

A=130  B=109  A1=180A=180130=50  B1=180B=180109=71   a=54 b=60  x1 = ba + x2 x2 tan(B1) = x1 tan(A1)  x2 tan(B1) = (b  a + x2) tan(A1)  x2 tan(B1) = (b  a) tan(A1)  + x2 tan(A1)  x2=tanB1tanA1(ba) tanA1=tan71° tan50° (ba) tan50° =tan71° tan50° (6054) tan50° =2.9042111.191754(6054) 1.191754=4.17559  y=x2 tanB1=x2 tan71° =4.1756 tan71° =4.1756 2.904211=12.1268  x=y2+(b+x2)2=12.12682+(60+4.1756)2=65.3113



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







Tips for related online calculators
See also our right triangle calculator.
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: