If I am 5 feet tall standing 3 feet away from a mirror looking at a tree that I can barely see the top of and the base of the tree is 9 feet away from the mirror how tall is the tree?

Therefore the tree is 15 feet tall.

Step-by-step explanation:

Given, you are 5 feet tall standing 3 feet away from a mirror.

Here height is directly proportional to the distance from mirror.

Directly proportional: When both objects increase simultaneously. Then the relation between objects is directly proportional.

∴height ∝distance from mirror

⇒height = k× distance from mirror

Here k is proportional constant.

       [ since height = 5 feet and distance from mirror=3]

Again given, The top of the tree and the base of the tree is 9 feet away from the mirror.

Let the tree be h feet tall.

             [ Here height = h and distance from mirror=9]

Therefore h=15

Therefore the tree is 15 feet tall.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.