The problem states that a kite has a center diagonal of 33 inches and an area of 95 square inches. We need to find the length of the other diagonal and round the answer to the nearest tenth.

1. Problem Description

The problem states that a kite has a center diagonal of 33 inches and an area of 95 square inches. We need to find the length of the other diagonal and round the answer to the nearest tenth.

2. Solution Steps

The area of a kite is given by the formula:

$Area = \frac{1}{2} * d_1 * d_2$

where $d_1$ and $d_2$ are the lengths of the two diagonals.

In this problem, we are given the area and one diagonal, and we need to find the other diagonal. Let $d_1 = 33$ inches and $Area = 95$ square inches. We need to find $d_2$.

Plugging in the given values into the formula:

$95 = \frac{1}{2} * 33 * d_2$

Multiply both sides by 2:

$190 = 33 * d_2$

Divide both sides by 33:

$d_2 = \frac{190}{33}$

$d_2 \approx 5.757575...$

We need to round the answer to the nearest tenth. Since the hundredths digit is 5, we round up.

$d_2 \approx 5.8$ inches.

3. Final Answer

The length of the other diagonal is approximately 5.8 inches.