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Answer:
The common ratio is
Step-by-step explanation:
Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.
Common ratio: The ratio of any term to the preceding term of that term.
The term of a geometric sequence is represented by
.
The term of the sequence = a.
The sum of first n term is
The common ratio = r.
Given geometric sequence,
,
,
,
........
The common ratio is
Based on the information given, there are 2 possibilities:
1) the hypotenuse is the base of the triangles, sitting on the rectangular pedestal
2) the right angle touches the pedestal, with the base equalling the pedestal length
In 1) it is pretty straightforward, because the right angle is the apex (top). The base is 61m, because the longest side in a right is always the hypotenuse.
So now we need the height (h), which will split the triangle into two 45-45-90 triangles with base and h = 30.5 (1/2 the initial base)
This will make the height off the ground = 30.5+5 = 35.5 m
2) with right angle touching the pedestal, we can only assume that the base equals the pedestal length, 11. Then we need the missing side (h), which we can derive from Pythagorean Theorem:
So in this triangle the height off ground would be 60+5 = 65 m
1) the hypotenuse is the base of the triangles, sitting on the rectangular pedestal
2) the right angle touches the pedestal, with the base equalling the pedestal length
In 1) it is pretty straightforward, because the right angle is the apex (top). The base is 61m, because the longest side in a right is always the hypotenuse.
So now we need the height (h), which will split the triangle into two 45-45-90 triangles with base and h = 30.5 (1/2 the initial base)
This will make the height off the ground = 30.5+5 = 35.5 m
2) with right angle touching the pedestal, we can only assume that the base equals the pedestal length, 11. Then we need the missing side (h), which we can derive from Pythagorean Theorem:
So in this triangle the height off ground would be 60+5 = 65 m