Questions: One of the tallest self-supporting towers in the world is the Tokyo Sky Tree in Japan, which stands 2080 feet tall. Mendocino trees in California are among the tallest in the world. If 6 of these trees were stacked on top of each other, they would still be 64 feet shorter than the Tokyo Sky Tree in Japan. Solve the following equation to determine the height of the tree: 6x + 64 = 2080. Round your answer to the nearest tenth.

Solution Steps

To find the height of one Mendocino tree, we need to solve the equation \(6x + 64 = 2080\). This equation represents the total height of 6 trees stacked on top of each other, which is 64 feet shorter than the Tokyo Sky Tree. We will isolate \(x\) by first subtracting 64 from both sides and then dividing by 6. Finally, we will round the result to the nearest tenth.

We are given that the total height of 6 Mendocino trees stacked is 64 feet shorter than the Tokyo Sky Tree, which is 2080 feet tall. The equation representing this situation is: \[ 6x + 64 = 2080 \]

To find the height of one tree, \( x \), we first subtract 64 from both sides of the equation: \[ 6x = 2080 - 64 \] \[ 6x = 2016 \]

Next, divide both sides by 6 to solve for \( x \): \[ x = \frac{2016}{6} \] \[ x = 336 \]

Final Answer