A variation of the subtense bar method that surveyors use to determine larger distances d between two points P and Q is shown in the figure. In this case the subtense bar with length b is placed between the points P and Q so that the bar is centered on and perpendicular to the line of sight connecting P and Q. The angles a and ß are measured from points P and Q, respectively. Find a formula for d involving a, ß, and b and use this formula to determine d if a = 32' 48", B = 40' 3", and b= 1.804 cm. Choose the correct formula for d below. O A. b d=5 cos cos 2 O B. b d = sin b sin 2 OC. b b/12 d= 2 b tan tan 2 2 b/2 D. d=ž cot b b cot The distance beween P and Q, denoted by d, is cm. (Type an integer or a decimal rounded to the nearest tenth as needed.) +

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