Trigonometry Problem - theres a stack of 3 circles, with a 1m radius, whats the height of the stack?

Question

Oh and its not 4m either, because the top circle is in the middle of the two bottom cirlces so its in a sort of depression

Answer 1

easy

U make a triangle between the centers of the 3 circls
meaning it would have three lines = 2*R = 2m
so the hight of the triangle would be root of ( R*R - 0.5R * 0.5R)
so it would be the root of (3) which is( 1.73)
the hight would be 1 + 1.73+ 1 = 3.73 m

Answer 2

If I understand your question correctly.
Two circles are on the ground touching together, and the third circle tests between them.
If you join the centres of the circles, then you have an equilateral triangle of 2 meter in length for each side of the triangle.
The vertical height (h) of the triangle will be:
2² = h² + 1²
2² - 1² = h²
3 = h²
h = √(3)

Now give consideration to the structure of the circles. The centre points of the two circles on the ground will be 1m about the ground, and the centre point of the third circle will have an extra distance of 1m above it's centre point.
So total distance about the ground:

Total distance = 1m + √(3)m + 1m
Total distance = 3∙732 050 808...m
Total distance ≈ 3∙73 m

Answer 3

Just like what archetype said. By drawing a triangle by joining the three centre of the circles and using the theorem pythagaros, you can calculate out that the height of the triangle is (square root 3). In short, the height of the stack is (square root 3) + 2.

Answer 4

Connect the centers of the three circles to form an equilateral triangle, with each side = 2*R; compute the altitude h of that triangle. The height of the stack (to the top of the topmost circle) is h+2*R

Answer 5

answer is (square root of 3) +2 ! jst join the 3 centres of the circles to get an equilateral triangle of sides 2m!! then use pytagoras theorem to find the height of the triangle! then add the length of the radius under the triangle an obove the triangle! make a drawing, that might help!

Answer 6

you put a 1m tick table on top of the two bottom circles and will be 5m height.... do not complicate life!!!!!

ahh and then you put couple of bricks on the sides of the top one so it wont roll

Answer 7

6 meters if they are stacked directly on top of each other

Answer 8

2 + sqrt(3)