set up the proportion and then cross multiply to solve for the missing variable.
[tex]\frac{flagpole (height)}{flagpole (shadow)} = \frac{tree (height)}{tree (shadow)}[/tex]
⇒ [tex]\frac{10}{17} = \frac{x}{50}[/tex]
⇒ 10(50) = 17(x)
⇒ 50 = 17x
⇒ [tex]\frac{50}{17} = \frac{17x}{17}[/tex]
⇒ 2.9 = x
Answer: 2.9 ft
Answer:
If you imagine that the flagpole casts a shadow that is 17 feet, the sun should should cast a shadow at the same angle.
Therefore, we have a pair of similar triangles (by the AAA rule).
Now all you need to do is make a ratio of those side lengths
10/17 = 50/x
To solve for x, we do the following:
Multiply both sides by x to get
10x/17 = 50
Now multiply by 17 to get
10x = 850
Now, divide both sides by 10 to find the final answer
x = 85 feet
Step-by-step explanation:
