The top of one tree is 16 feet higher than the top of another tree. The height of the two trees are in the ratio 3: 4. In feet, how tall is the taller tree?48648096下一题 Next
Question
The top of one tree is 16 feet higher than the top of another tree. The height of the two trees are in the ratio 3: 4. In feet, how tall is the taller tree?48648096下一题 Next
Solution
Let's solve this step by step:
Step 1: Let's denote the height of the shorter tree as 3x and the height of the taller tree as 4x (since their heights are in the ratio 3:4).
Step 2: According to the problem, the top of one tree is 16 feet higher than the top of another tree. This means that 4x = 3x + 16.
Step 3: Solving the equation from step 2 for x gives us x = 16 feet.
Step 4: Now that we know x, we can find the height of the taller tree by substituting x into the equation for 4x. This gives us 4*16 = 64 feet.
So, the taller tree is 64 feet tall.
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