Answers

  • Brainly User
2016-03-11T23:26:58+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Angle from object X = 180° - (∠A + ∠B)
                                = 180° - (45° + 30°)
                                = 180° - 75°
                                =105°

∠X = 105°
x (side opposite X) = 100 ft.
∠A = 45°
a (side opposite A)= distance from B to X
∠B = 30°
b (side opposite B) = distance from A to X

Solve using Law of Sines:

1).  Solve for a, or the distance from B to Object X.
     x           a
  -------- =  -------
  sin X      sin A
    
   100 ft               a
  --------------  = ---------
   sin 105°         sin 45°
 
 a (sin 105°) = 100 ft (sin 45°)
 
      100 ft (sin 45°)
a = ----------------------
          sin 105°
 
       100 ft (0.707)
a = --------------------
        0.966
 
          70.7 ft
a = -------------
          0.966

a =  73.19 ft or 73 ft  ⇒ distance from B to Object X.   

2.)  Solve for b, or the distance from A to Object X:

      100 ft (sin 30°)
b = -------------------
        sin 105°
 
       100 ft (0.5)
b = -----------------
        0.966
 
          50 ft
b = -----------
        0.966

b =  51.75 or 52 ft. ⇒ distance from A to Object X.

ANSWER:  The distance from observer A to Object X is 52 ft, while the distance from observer B to to Object X is 73 ft.










0