We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as
h1/s1 = h2/s2
where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree
Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
Answer: can you put the picture so I can tell you more? The x axis is the horizontal line. It has negatives on the left and positives on the right. Hope this helps!
Step-by-step explanation:
The direct path back forms a right triangle. Use the Pythagorean theorem:
X = sqrt(4^2 + 2^2)
X = sqrt(16 + 4)
X = sqrt(20) = 2sqrt(5)
X = 4.472
Round the answer as needed.
Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:

Note that
![x^{3/4 } = \sqrt[4]{x^3}](https://tex.z-dn.net/?f=x%5E%7B3%2F4%20%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%5E3%7D)
![y^{3/8 } = \sqrt[8]{y^3}](https://tex.z-dn.net/?f=y%5E%7B3%2F8%20%7D%20%3D%20%5Csqrt%5B8%5D%7By%5E3%7D)
So,
![\sqrt[4]{x^3} = \sqrt[8]{y^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E3%7D%20%3D%20%20%5Csqrt%5B8%5D%7By%5E3%7D)
![( \sqrt[4]{x^3} ) ^8= ( \sqrt[8]{y^3} )^8](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B4%5D%7Bx%5E3%7D%20%29%20%5E8%3D%20%20%28%20%5Csqrt%5B8%5D%7By%5E3%7D%20%29%5E8)
![( \sqrt[4]{x^3} ) ^8= y^3](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B4%5D%7Bx%5E3%7D%20%29%20%5E8%3D%20%20y%5E3)
Once
![( \sqrt[4]{x^3} )^8 = (( \sqrt[4]{x^3} )^4)^2= (x^3)^2 = x^6](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B4%5D%7Bx%5E3%7D%20%29%5E8%20%3D%20%28%28%20%5Csqrt%5B4%5D%7Bx%5E3%7D%20%29%5E4%29%5E2%3D%20%28x%5E3%29%5E2%20%3D%20x%5E6)

![x = \sqrt[6]{y^3}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%5B6%5D%7By%5E3%7D)


