A kite flight of a tant string of length 50m inclind at angle of 54 degree to the horizontal ground. What is height of the kite above the ground?
h/50 = sin54°
To find the height of the kite above the ground, you can use trigonometry and the given information.
Trigonometry provides us with the relationship between the angles and sides of a right triangle. In this case, we have a right triangle formed by the ground, the length of the string, and the height of the kite.
Given:
- Length of the string (hypotenuse): 50m
- Angle between the string and the ground: 54 degrees
To find the height of the kite above the ground, we need to determine the length of the side adjacent to the angle, which represents the height of the kite.
1. Identify the angle and the side you want to find. In this case, we want to find the height of the kite above the ground, so this is the side adjacent to the angle of 54 degrees.
2. Apply the cosine function, which relates the adjacent side and the hypotenuse:
cos(angle) = adjacent/hypotenuse
In our case:
cos(54°) = height/50m
3. Rearrange the equation to solve for the height:
height = cos(54°) * 50m
4. Calculate the height using a calculator or trigonometric table:
height ≈ 50m * cos(54°)
height ≈ 50m * 0.5878
height ≈ 29.39m
Therefore, the height of the kite above the ground is approximately 29.39m.