Math: Angles WCLN.ca Taking Measurements You will find the height of an object that is on level ground and has an inaccessible base. This strategy can be used to determine the height of a distant object without having to be near it (that said if you pick an object you can touch like your house that is okay Below is a diagram that includes the variables you will either measure or be asked to calculate. G X C D A B E Your goal is to determine the value of FG to find the total height, EG = EF + FG. 1) First, identify all parallel lines and record them in the space below. Head outside and determine the values of the following measurements and record them below: 2) The height of the theodolite when taking measurements from point A: AC- meters 3) The angle of inclination when looking at point G from point C. degrees 4) Move closer to the object. This distance d = AB should be greater than or equal to 5m. meters 5) The height of the theodolite when taking measurements from point B. meters 2023-02-14 Page 3 of SMath: Angles WCLN.ca 3) Does BD need to be the same height as AC? Why or why not? 7) The angle of inclination when looking at point G from point D. degrees Analysis Questions 8) Determine the values of the green angles, cr, @, and y, given: 0 and O (measured above), and the parallel lines (identified above in #1). Show your work below and include reasons for each of your calculations, like as in a proof. 9) What type of triangles are both GCF and GDF? 10) What types of angles are the following ZGFD O ZCDG 2023-02-14 Page 4 of 5