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MATH 2 º ESO. NIT IES ALBA DE L'

T9 EXERCISES: numerical proportion

1 .- Calculate the value of the missing segment. Name the segments and lines.

2 .- The Pyramid of Cheops has a square base of 230 meters across. Legend says that Thales measured the height noting that the shadow of the pyramid was 85 yards from the base and placing his stick of 1.46 m at the point where just the shadow, measured as planned the cane, which was 2 m . What high is the pyramid?




3 .- The segments AB and CD are 3 cm and 15 cm, and the segments EF and GH, 7 cm and 35 cm. Draw them and see they are proportional.

4 .- A large pine tree at 11 am on a certain day, casts a shadow of 6.5 m. Near him, a stand 2.8 m high casts a shadow 70 cm. What is the height of the pine? Make a rough drawing and explain what you have used mathematical techniques to solve this problem. 5 .- Justify why the two triangles below are similar. Calculates the remainder of sides AB, B'C 'and angles that are missing.


6 .- Calculate the values \u200b\u200bof x
and
and applying the 'Theorem of Thales. "


7 .- Knowing that the model of the Eiffel Tower is 15 cm and that the actual height of this monument is 300 m, calculated: a) The scale to which it is made the model.

b) How high will be in the model the second floor, in fact, is located 114 m from the ground?