Answered

A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 26 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.



Answer :

mathstudent55

Answer:

10.4 ft

Step-by-step explanation:

Use a proportion.

5/2 = 26/x

5x = 2 × 26

5x = 52

x = 10.4

Answer: 10.4 ft

rvkacademic

Answer:

10.4 feet

Step-by-step explanation:

Use proportional ratios to solve

[tex]\mathrm{\dfrac{Fence\; Post \;Height}{Fence\;Post\;Shadow} = \dfrac{Tree \;Height}{Tree\;Shadow}}[/tex]

[tex]\dfrac{5}{2} = \mathrm{\dfrac{26}{Tree\;Shadow}}[/tex]

Tree Shadow = 26 * 2/5 = 10.4 feet