Question

high on a statue says the height of the statue is 49.5 feet. a tourist wants to know the height up the tourist by completing the parts below. (a) let x be the unknown number of meters. (using the values below, create a proportion that can be used to find x. use the conversion 1 meter = 3.3 feet. values: x, 1, 3.3, 49.5 (b) use the proportion from part (a) to find the height of the statue in meters. do not round any computations. meters

Explanation:

Step1: Set up proportional equation

We relate meters to feet using the conversion factor. The proportion is:
$$\frac{x}{49.5} = \frac{1}{3.3}$$
(Alternatively, $\frac{x}{1} = \frac{49.5}{3.3}$ is also valid, as proportions can be structured by matching units consistently.)

Step2: Solve for x (cross-multiply)

Multiply both sides by 49.5 to isolate x:
$$x = \frac{49.5}{3.3}$$

Step3: Calculate the value

Perform the division:
$$x = 15$$

Answer:

(a) The completed proportion is $\boldsymbol{\frac{x}{49.5} = \frac{1}{3.3}}$ (or $\frac{1}{3.3} = \frac{x}{49.5}$)
(b) $\boldsymbol{15}$ meters