Answer:
The length of the rope is 7.6 ft ( approx )
Step-by-step explanation:
Let, The line segment AB shows the length of the pole, ( where A is the top and B is the bottom ) and line segment AC shows the rope,
According to the question,
AB = 3.5 ft,
BC = 6.8 ft,
Since, the pole must be vertical with respect to the ground,
That is, ∠ABC = 90°,
Thus, by Pythagoras theorem,
AC² = AB² + BC²
⇒ AC² = 3.5² + 6.8² = 12.25 + 46.24 = 58.49,
⇒ AC = √ 58.49 = 7.64787552 ≈ 7.6 ft
Hence, the length of the rope is approximately 7.6 ft.
Answer:
The coordinates of A' are (6,6).
Step-by-step explanation:
It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).
If a point is rotated 90 ° clockwise about the point ( a,b ), then
It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.
The coordinates of A are (-1,3), So, the coordinates of A' are
Therefore the coordinates of A' are (6,6).
