a steel tape that is 100.00 ft long when supported only at its ends under a tension of 20 lb is used to measure a line. the temperature is 68 degree f, the pull on the tape is 40 lb, and the line is measured as 469.40 ft. the tape used is 0.33 in wide x 0.02 in thick. if one assumes the modulus of elasticity of steel to be 29,000,000 psi, what is the actual length of the line?