Question

medal
a pole 14 m high casts a shadow of 10 m . At the same time what will be the height of a tree which casts a shadow of 7 m

Answer 1

use ratios of corresponding sides in similar triangles

original/shadow


\[\frac{14}{10} = \frac{x}{7}\]

so

\[x = \frac{14 \times 7}{10}\]

Answer 2

The ratio of the object to its shadow depends on the angle the sun makes with the object.
If the angle the sun makes with the object is constant - as it is on a particular point on a day- then this ration will be constant.

Answer 3

so its directly proportional?

Answer 4

yes

Answer 5

so we can cross multiply to find out x

Answer 6

yes

Answer 7

thanks :)

Answer 8

you are welcome