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

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.