A large portion of the FS exam is math, math, and more math, so getting familiar with solving triangles is very important. Often times, these math questions come in the form of real-world scenarios. Here, you are asked to find the height of a flagpole given two distances and one angle. Sounds like trig to me! Join us as we solve this land surveying trig problem and rescue the city of over-sized flag poles!
Practice Question:
The city of Nowhere has mandated that all flagpoles must not exceed a height of 49.50′ because the city revenue needs a shot in the arm. You, Super Surveyor, have been asked to survey all 595,393 flagpoles in the city. Since you don’t enjoy climbing, you have decided to use your total station. On flagpole 393,232, the measurements include: total station to bottom of flagpole 49.49′, total station to top of flagpole 66.32′ and angle from bottom-of-pole to top-of-pole of 45-17-23 (DMS).
What’s the height of the flagpole?
Answer Choices
A) 39.98′
B) 44.99′
C) 47.21′
D) 50.58′
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