A kite string is 220 feet in length. It makes a 45 angle with the ground. How high is the kite off of the ground?

The height of the kite off the ground is 155.562 feet

Step-by-step explanation:

Given

Required

Determine the height the kite is from the ground

This question is best explained with the following attachment

From the attachment, we have that the illustration of the question forms a right angled triangle triangle and required to solve for h

The relationship between h, 220 and 45 degrees is:

Where

So, we have:

Multiply both sides by 220

Hence, the height of the kite off the ground is 155.562 feet

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1