Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole as shown below. Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole?

Question

anonymous · Answer

attachment

campbell_st · Answer

this uses tan ratio.... you need to find the opposite given the adjacent

tan(45) = AB/9 

tan(60) = AC/9

the distance between A and B is AC - AB

anonymous · Answer

6.59 feet

 1.73 feet

 4.32 feet

 2.56 feet

campbell_st · Answer

AB = 9 x tan(45)
AC = 9  x tan (60)