23 36068 16weeks Fall 2017 Homework Ho Score 0 of 1 pt 6247

23 (36068) 16-weeks Fall 2017 Homework: Ho Score: 0 of 1 pt 6.2.47 12 of 1314 complete Hw Score: 30.77%, 4 of 13 pe The figure shows a 500 foot tower on the side of a hill that forms a 7\" angle welth the henicantal Fnd length of each of the two guy wires that are anchored and extend to the top of the tower 500 feet Part (a) What is the length of the uphill guy wire? feet (Round to the nearest tenth as needed) its Eniter yout answwar in the aniswer box and then click Check Anoves 1 DELL

Solution

uphill triangle = 90 - 7 = 83 degrees

applying law of cosines

c^2 = 500^2 + 70^2 - 2(500)(70) cos 83

c = 496.36

length of uphill guy wire is 496.4 feet