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. 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. angle adc measures 45 degrees and angle bdc measures 30 degrees. the length of dc is 5 multiplied by square root of 3. angle adc measures 45 and angle bdc measures 30 . what is the distance between the points a and b on the flagpole?