rewrite this essay
To find the length of the kite string, denoted as
𝑥
x, we use trigonometry with the given angle of 39 degrees between the string and the ground, and a kite height of 27 meters. Applying the sine function, we establish the equation
sin
(
3
9
∘
)
=
27
𝑥
sin(39
∘
)=
x
27
. Solving for
𝑥
x, we rearrange to obtain
𝑥
=
27
sin
(
3
9
∘
)
x=
sin(39
∘
)
27
. Substituting the value of sine, we find
𝑥
≈
42.9
x≈42.9 meters when rounded to the nearest tenth, thus indicating the length of the kite string.
1 answer
The length of the kite string, denoted as x, can be determined using trigonometry. Given an angle of 39 degrees between the string and the ground, and a kite height of 27 meters, we can utilize the sine function to establish the equation sin(39 degrees) = 27/x. Solving for x, we rearrange the equation to find x = 27/sin(39 degrees). Substituting the value of sine, we calculate x to be approximately 42.9 meters when rounded to the nearest tenth, indicating the length of the kite string.