Answer:
16 inches
Explanation:
We can use the Pythagorean theorem to find the height of the television. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two smaller sides is equal to the square of the length of the longest side (the hypotenuse). In this case, the diagonal of the television is the hypotenuse and the width and height are the other two sides.
So, we can set up the equation as follows:
a^2 + b^2 = c^2
where a is the width (22 inches), b is the height, and c is the diagonal (27 inches).
We can solve for b:
b^2 = c^2 - a^2
b^2 = 27^2 - 22^2
b^2 = 729 - 484
b^2 = 245
b = √245
b = 15.56 inches (rounded to two decimal places)
So, the height of the television to the nearest inch is 16 inches.