jared is flying a kite on a level park ground jared is holding the kite string at a 67 degree and gle to the ground and the kite string extends 22.5 feet to thr kite if jared's hand measures 54 inches from the ground what is the height of the kite in feet

To find the height of the kite in feet, we can use trigonometry.

First, let's convert Jared's hand measurement from inches to feet.
54 inches = 54 / 12 = 4.5 feet

Now, we need to find the height of the kite above the ground. We can use the tangent function to find this value. The tangent of an angle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the height of the kite, and the adjacent side is the distance from Jared's hand to the kite.

Using the tangent function:
tan(67 degrees) = height of kite / distance from hand to kite

Let's solve for the height of the kite:
height of kite = tan(67 degrees) * distance from hand to kite
height of kite = tan(67 degrees) * 22.5 feet

Calculating this:
height of kite = 2.351 * 22.5
height of kite = 52.89 feet

Therefore, the height of the kite above the ground is approximately 52.89 feet.

To find the height of the kite, we can use some trigonometry. Let's break down the given information:

- The length of the kite string (adjacent side) is 22.5 feet.
- Jared's hand height from the ground (opposite side) is 54 inches.

First, let's convert Jared's hand height from inches to feet. Since there are 12 inches in one foot, we divide 54 inches by 12 to get 4.5 feet.

Next, we can use the tangent function to find the height of the kite. The tangent of an angle in a right triangle is calculated by dividing the opposite side by the adjacent side. In this case, the height of the kite (opposite side) over the length of the kite string (adjacent side) is equal to the tangent of the angle.

So, the equation becomes:

tangent(67°) = height of kite / 22.5 feet

To find the height of the kite, we rearrange the equation:

height of kite = tangent(67°) * 22.5 feet

Using a calculator, we can find that the tangent of 67° is approximately 2.5203.

Plugging in the values:

height of kite = 2.5203 * 22.5 feet

Calculating the expression:

height of kite ≈ 56.70675 feet

Therefore, the height of the kite is approximately 56.70675 feet.

22.5 ft = 270 in

So, The height h, of the kite above Jared's hand is

h/270 = sin 67° = 248.53 in

So, add that to the 54 in to get the kite's height (in inches).

Or, you could convert 54" to ft first, then do the trig.