An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall in inches is the envelope

The envelop is 15.49 inches tall

Step-by-step explanation:

To find how tall the envelop is, we will follow the steps below;

We can use Pythagoras theorem formula to find the height of the envelop'

adjacent = width of the envelop = 11 inches opposite = height (h) of the evelope = h and hypotenuse = diagonal of the envelop = 19 inches

Using Pythagoras theorem;

opposite² + adjacent² = hypotenuse²

h² + 11² = 19²

h² + 121 = 361

subtract 121 from both-side of the equation

h² + 121-121 = 361-121

h² = 240

Take the square root of both-side

√h² = √ 240

h≈15.49 inches

The envelop is 15.49 inches tall