The height of a tree increases by approximately 2% each year. the tree is currently 45 feet tall. which expression will calculate how tall the tree will be in 1 year?

Step-by-step explanation:

Let be the height of the tree at time .

Given that the height of a tree increases by approximately % each year.

So,

Given that when ,

Integrating on both sides,

applying anti-logarithm on both sides,

a

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2