Answer: 1.574800m
Step-by-step explanation:
Answer:
AC = 78
Step-by-step explanation:
Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)
We are given then one side is 11x-32 and another side is 5x+28
These two sides must be equal so we can set them equal to each other and solve for x
11x - 32 = 5x + 28
6x - 32 = 28
6x = 60
x = 10
If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)
11(10)-32 = 110 - 32 = 78
AB = BC = AC = 78
AC = 78
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
Step-by-step explanation:
-5(x – 6) = 10x
-5x+30=10x
-5x-10x = -30
-15x = -30
x= -30/-15 = 2
