Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this