A building has a lightning rod installed on its top. From a distance of 500ft from the building the angle of elevation to the top of the rod is 74 degrees and the angle of elevation to the bottom of the rod is 66 degrees. How tall is the rod?I tried to create a series of equations about the nested right triangles in this problem, where h height of the rod and x height of the building.tan 134 (h+x/500) and tan 66 (x/500). When i tried to solve the series (finding x and subbing the value into the first equation in the series. I got a really high negative value. I tried doing the problem again using series of arctan 140 (500/h+x) and tan 66 (h/500). Solving this I managed to get a value of 333.044, for the height of the lightning rod. Which seems bizarrely tall. Any help to see where I am going wrong in this problem is GREATLY appreciated.Thank you.
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