The string of a kite is 120 m long and makes an angle of 70° with the horizontal. What is the height of the kite? show work!
1 answer:
The height of the kite is approximately 112.763 meters above the ground.
<h3>How to determine the height of a kite above the ground</h3>
The situation is represented by the following geometric diagram, a right triangle with a known hypotenuse (r), in meters, and a known acute angle (θ), in degrees. The height of the kite (h), in meters, is represented by the leg opposite to the acute angle and can be found by trigonometric functions:
sin θ = h / r
h = r · sin θ
h = 120 · sin 70°
h ≈ 112.763 m
The height of the kite is approximately 112.763 meters.
To learn more on trigonometric functions: brainly.com/question/14746686
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Answer:
Cannot create sample
Step-by-step explanation:
We are given the following in the question:
4, -2, -6, 19, 6
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8
If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.
New sample:
4, -2, -6, 19, 6, 4.2
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8
Thus, the variance of new sample changes.
Thus, it is not possible to create a sample.