a.)at what rate is the lenght of her shadow increasing?
b.)at what speed is the tip of her shadow moving?
Please have a look at the picture below to understand what's going on:
For the sake of clarity,
s = length of the shadow = AD
and x = distance of the lady from the wall = BD
Triangle ADE is similar to triangle ABC (AAA criterion of similarity)
Differentiate both sides w.r.t time t to get:
Hence, the rate at which length of her shadow is increasing =
the rate at which the tip of her shadow is moving = rate t which she is moving + rate at which the length of the shadow is increasing =
Find the point on the line
Determine whether the polygons to the right are similar. If so, write a similarity statement and give the scale factor. If not, explain.
B.No, because lengths of corresponding sides are not proportional.
D.No, because corresponding angles are not congruent.
To prove:The two triangles are similar using postulate or theorem.
The system triangles: