Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be $67^{\circ}$, how far from the base of the tree am I?
Round your answer to four decimal places.
I am about Number feet away from the base of the tree.

Step 1 ：We are given that a 380-foot tall giant redwood grows vertically. If we walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be $67^{\circ}$, we are asked to find how far from the base of the tree we are.

Step 2 ：This problem can be solved using trigonometry. The situation described forms a right triangle, where the height of the tree is the opposite side, the distance from the tree is the adjacent side, and the angle of elevation is the angle between the adjacent side and the hypotenuse.

Step 3 ：We can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side, to find the distance from the tree. The formula for tangent is \(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\).

Step 4 ：Substituting the given values into the formula, we get \(\tan(67^{\circ}) = \frac{380}{\text{distance}}\).

Step 5 ：Solving for distance, we get \(\text{distance} = \frac{380}{\tan(67^{\circ})}\).

Step 6 ：Calculating the above expression, we find that the distance is approximately 161.3004 feet.

Step 7 ：Final Answer: I am about \(\boxed{161.3004}\) feet away from the base of the tree.