An electrician uses 7 m of wire to join a junction box at the top of a utility pole to a junction box at ground level so that th
e angle of depression is 47 degrees. To the nearest tenth of a meter, how far is the ground-level junction box from the base of the utility pole? 10.3 m
6.5 m
5.1 m
4.8 m
To solve this problem you must apply the proccedure shown below: 1- You have that the length of the wire is 7 meters and the <span>angle of depression is 47 degrees. Therefore, you have: Cos</span>α=adjacent/hypotenuse α=47° adjacent=x hypotenuse=7 2- When you substitute the values above, you obtain: Cod(47°)=x/7 3-Solve for x as following: x=7[Cos(47°)] x=4.8 The answer is: 4.8 meters
