contestada

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?

Respuesta :

Answer:

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

[tex]x^{2}[/tex]+4x+4=[tex]x^{2}[/tex]+[tex]x^{2}[/tex]-46x+529

re-arrange the equation and collect like terms

[tex]x^{2}[/tex]-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

Otras preguntas