Answer:
15.62 feet
Explanation:
If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.
![a^(2) + b^(2) = c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1n2ad8w2wbwa11yln029p9g2w12jvv8kfd.png)
let height of flagpole = a
let length of shadow = b
let distance between the two = c
![10^(2) + 12^(2) = c^(2) \\100 + 144 = c^(2)\\244 = c^(2)\\√(244) = \sqrt{c^(2)} \\√(244) = c\\15.62 = c](https://img.qammunity.org/2021/formulas/mathematics/high-school/z4x38097eq0w2k2615lnv7ygposikov556.png)