A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?
(1 point)
Responses
9
9
13
13
22
22
55
55
To find the height of the television set, we will use the Pythagorean theorem.
Let h represent the height of the television set.
We have a right triangle with the width of the television set (36 inches), the height of the television set (h inches), and the diagonal length of the television set (42 inches).
Using the Pythagorean theorem, we can write the equation:
(36)^2 + (h)^2 = (42)^2
Simplifying the equation, we have:
1296 + (h)^2 = 1764
Subtracting 1296 from both sides, we have:
(h)^2 = 468
Taking the square root of both sides, we have:
h = √468
To the nearest inch, h ≈ 22.
Therefore, the television set is approximately 22 inches tall. The correct answer is 22.