A 16- foot tree casts a shadow that is 8 feet long. What is the distance from the top of the tree to the end of the shadow? ?
- PinkgreenLv 74 weeks ago
Let the tree top be A; the end of the shadow of it be B & the foot of the tree
be O. assume that the tree is straight, then
- SumDudeLv 71 month ago
Ask Pythagoras. He developed a formula.
- billrussell42Lv 71 month ago
√(16² + 8²) = 17.89 ft
- DavidLv 71 month ago
Using Pythagoras for a right angle triangle is 8 times the square root of 5 or about 17.89 feet rounded to two decimal places
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- llafferLv 71 month ago
If you sketch this out you get a right triangle with a height of 16 feet and abase of 8 feet.
You are looking for the hypotenuse of this triangle, so:
a² + b² = c²
16² + 8² = c²
256 + 64 = c²
320 = c²
c = √320
c = √(64 * 5)
c = 8√5 feet