Given:
The three points are (1,2), (2,3) and (-2,-11).
To find:
Whether the given points are collinear.
Solution:
Let as consider the three points are A(1,2), B(2,3) and C(-2,-11).
If these three points are collinear, then area of must be 0.
Area of ,
Therefore, the given points are not collinear.
Grace's height and the tree's height are related by equivalent ratios
The height of the tree is 2.00 meters
Grace's height is given as:
When she measured the length of the tree's shadow, we have:
--- the length of her shadow
--- the length of the tree's shadow
The height (H) of the tree is calculated using the following equivalent ratio
Substitute known values
Express as fractions
Multiply both sides by 1.65
Simplify
Hence, the approximated height of the tree is 2.00 meters
Read more about equivalent ratios at: