Task 2: Imagine you are on the design team at Samsung. The company has tasked your
team with deciding the dimensions for the next cell phone model. The Samsung Galaxy
S23 has the following dimensions: 3 inches wide, 5 inches tall, and 6-inch diagonal.
Respond to the following questions: 2. If your team makes the new phone 1 inch wider and 2 inches taller, what is the new diagonal
measurement? (Show work). Round your answer to the nearest hundredth. show work pls
To find the new diagonal measurement of the phone, we can use the Pythagorean theorem.
The original phone has a width of 3 inches, a height of 5 inches, and a diagonal of 6 inches.
Using the Pythagorean theorem, we can calculate the original diagonal as follows:
Diagonal^2 = Width^2 + Height^2
6^2 = 3^2 + 5^2
36 = 9 + 25
36 = 34
Taking the square root of both sides, we find that the original diagonal is approximately 6.08 inches.
Now, let's calculate the new diagonal measurement of the phone with the increased dimensions.
The new width is 3 + 1 = 4 inches, and the new height is 5 + 2 = 7 inches.
Using the same formula:
New Diagonal^2 = New Width^2 + New Height^2
New Diagonal^2 = 4^2 + 7^2
New Diagonal^2 = 16 + 49
New Diagonal^2 = 65
Taking the square root of both sides, we find that the new diagonal is approximately 8.06 inches.
Therefore, the new diagonal measurement of the phone, when the width is increased by 1 inch and the height is increased by 2 inches, is approximately 8.06 inches.