At a certain time of day, a tree that is x meters tall casts a shadow that is x - 23 meters long. If the distance from the top of the tree to the end of the shadow is x + 2 meters, what is the height, x, of the tree?

The height, x of the tree is 35 meters

Step-by-step explanation:

use Pythagorean  theory to answer

(x+2)^2= x^2+(x-23)^2

+4x+4=+-46x+529

re-arrange the equation and collect like terms

-50x+525=0

(x-35)(x-15)=0

x=15 or x=35

x cannot be 15 because 15-23 is a negative answer

therefore the height of tree is 35 m

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>