Answer:
1) Measuring the height of the tower. 2) Measuring horizontal between the base of the tower and bases of diagonal cables. 3) Determining the length of each cable by Pythagorean Theorem.
Step-by-step explanation:
We proceed to describe all step needed by Amber to determine the lengths of the diagonal cables:
1) Amber must measure the height of the tower, which is represented by [tex]h[/tex].
2) Then, she must measure the horizontal distances between the height of the tower and the base of each diagonal cable, which are represented by [tex]s_{1}[/tex], [tex]s_{2}[/tex], [tex]s_{3}[/tex] and [tex]s_{4}[/tex], respectively.
3) Given that tower and support for roadway are perpendicular to each other, each cable length can be calculated by Pythagorean Theorem:
[tex]l_{1} = \sqrt{h^{2}+s_{1}^{2}}[/tex]
[tex]l_{2} = \sqrt{h^{2}+s_{2}^{2}}[/tex]
[tex]l_{3} = \sqrt{h^{2}+s_{3}^{2}}[/tex]
[tex]l_{4} = \sqrt{h^{2}+s_{4}^{2}}[/tex]
Note: [tex]l_{1}[/tex] is the length of the cable, whose base is closest to the base of the tower.
