Answer:
approximately 242.2 feet.
Step-by-step explanation:
To find the height of the kite, we can use trigonometry. Let's break down the information given:
The angle of elevation from your hand to the kite is 40°.
The distance to the kite is 289 feet.
Your hand is 4 feet above the ground.
To solve for the height of the kite, we can use the tangent function. 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 your hand to the kite.
So, using the tangent function, we have:
tangent(40°) = height of the kite / 289 feet
To solve for the height of the kite, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 289 feet:
tangent(40°) * 289 feet = height of the kite
Using a calculator, we can find that the tangent of 40° is approximately 0.8391.
Now, we can substitute this value into the equation:
0.8391 * 289 feet = height of the kite
Simplifying the equation gives us:
242.1639 feet = height of the kite
Rounding to the nearest tenth of a foot, the height of the kite is approximately 242.2 feet.
Therefore the height of the kite is approximately 242.2 feet.
