Sonia visited a park in California that had redwood trees. When Sonia asked how tall a certain large

Sonia visited a park in California that had redwood trees. When Sonia asked how tall a certain large redwood tree was, the ranger said that he wouldn't tell its height, but would give Sonia a clue. How tall is the redwood tree Sonia asked about?

Sonia said the tree is 64 times my height. The tree is also 112 feet taller than the tree next to it. The two trees plus my height total 597.5 feet.

• Rangers's height = n
• Tree height = 64n
• Smaller tree height = 64n - 112
• Total height = 64n - 112 + 64n = 597.5

Solve for n in the equation 64n - 112 + 64n = 597.5

Step 1: Group the n terms on the left hand side:
(64 + 64)n = 128n

Step 2: Form modified equation
128n - 112 = + 597.5

Step 3: Group constants:
We need to group our constants -112 and 597.5. To do that, we add 112 to both sides
128n - 112 + 112 = 597.5 + 112

Step 4: Cancel 112 on the left side:
128n = 709.5

Step 5: Divide each side of the equation by 128
128n/128 = 709.5/128
n = 5.54296875

Tree height = 64 * ranger height
Tree height = 64 * 5.54296875
Tree height = 354.75 feet