A kite, 135m higher above the ground has a string 200m long.Determine the angle formed by the string and the ground.
As always, draw a diagram.
if the angle is x, then you know that
sin x = 135/200
now just find x.
To determine the angle formed by the string and the ground, we can use trigonometry. Specifically, we can use the tangent function.
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 above the ground (135m) and the adjacent side is the length of the string (200m).
So, we can set up the equation as follows:
tan(angle) = opposite/adjacent
tan(angle) = 135/200
Now, let's solve for the angle:
angle = arctan(135/200)
Using a calculator, we find:
angle ≈ 33.69 degrees
Therefore, the angle formed by the string and the ground is approximately 33.69 degrees.
To determine the angle formed by the string and the ground, we can use trigonometry. Specifically, we can use the tangent function.
Let's call the height of the kite from the ground "h" and the length of the string "l". In this case, h = 135m and l = 200m.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the height of the kite (h) is the opposite side and the length of the string (l) is the adjacent side.
Therefore, the tangent of the angle formed by the string and the ground is given by the equation:
tangent(angle) = opposite/adjacent = h/l
Plugging in the values we have:
tangent(angle) = 135/200
Now we can find the angle by taking the inverse tangent (also known as arctan) of both sides:
angle = arctan(135/200)
Using a calculator or a trigonometric table, we can find that arctan(135/200) ≈ 35.19 degrees.
So, the angle formed by the string and the ground is approximately 35.19 degrees.