could you please explain how you work through these problems . thank you Express

Question

could you please explain how you work through these problems . thank you

Express the following calculations using the proper number of significant figures: (a) 12.634 + 2.1 (b) 13.5 - 2.134 (c) pi(0.25 m)^2 (d)squareroot 2.37/3.5 6. Two separate seismograph stations receive indications of an earthquake in the form of a wave travelling to them in a straight line from epicenter and shaking the ground at their locations. The epicenter is located due north of station A and 30degree north of due west from station B. (a) Draw a sketch and use it to determine the distance from the epicenter to A. (b) Determine the distance from the epicenter to B. (c) Station C is located an additional 20 km east of B. At what angle does C report the direction of the epicenter to be?

Explanation / Answer

5) a)   14.734

      b)   11.366

     c)   0.19625

      d) 0.8228

6) a) Distance from epicentre to A = 20 * cos30 = 17.32 km

    b)     Distance from epicentre to B = 20 * sin30 = 10 km

    c)    Angle does C report   =   tan-1((20 + 17.32)/10)

                                           =    75 degree

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