Find the height of a tree whose shadow is 42m long when the shadow of a man 1.8m tall is 2.4m long

The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:

3 : 4 = x : 42

3 * 42 = 4x

x = 3 * 42 / 4 = 31.5

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.