a. To find the distance between two pointsAandBthat lie on opposite banks of a river, a surveyor lays off a line segmentACof lengthb=290yards along one bank and determines that the measures ofBACandACBare 6320' and 5410', respectively (see the figure). Approximate the distance betweenAandB. (Round your answer to the nearest whole number.)

b.To determine the distance between two pointsAandB, a surveyor chooses a pointCthat is295yards fromAand595yards fromB. IfBAChas measure 4930', approximate the distance betweenAandB. (Round your answer to the nearest whole number.)

c.A straight road makes an angle of 15with the horizontal. When the angle of elevation of the sun is 57, a vertical pole at the side of the road casts a shadowafeet long directly down the road, as shown in the figure. Approximate the length of the pole,ifa=165.(Round your answer to two decimal places.)