Lance the alien is 5 feet tall. His shadow is 8 feet lopg.
5 ft
8 ft
32 it
At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

= = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

1. use the equation y -y1 = m(x-x1)
2. (-6,-4) is x1,y1 and (4,-6) is x2,y2
3. y-(-4) = m(x-(-6)
m is the gradient, 10/10, which is 1. make two negatives into a positive.
4. y+4 = x+6

therefore the equation of the lines is y = x+2

substitute the points back into the equation to double check.