SOLUTION: A tree casts a shadow 6 m long when the sun is at an elevation of 70 degrees. A gardener wishes to fell the tree at ground level and needs to cut the trunk into 4 m lengths to cart

Question 1113075: A tree casts a shadow 6 m long when the sun is at an elevation of 70 degrees. A gardener wishes to fell the tree at ground level and needs to cut the trunk into 4 m lengths to cart it away. How many cuts must he make?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
y, how tall the tree when standing
r, distance from tip of shadow to top of tree

Cut that into 4-meter sections.
--------compute this using calculator.

-
recognize that .
Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

A tree casts a shadow 6 m long when the sun is at an elevation of 70 degrees. A gardener wishes to fell the tree at ground level and needs to cut the trunk into 4 m lengths to cart it away. How many cuts must he make?

With x being the height of the tree, we have: =====>
Cross-multiplying, and solving for x will give you 16.484865 m.
Divide that by 4 to get the number of INTEGER-cuts. Drop the decimal.
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