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:
The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
Given
Required
The true statement about the extreme value
First, write out the leading coefficient
means that the function would be a downward parabola;
Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.
The maximum value is:
Where:
So, we have:
Substitute in
<em>Hence, the maximum is -21.</em>
Answer:
Step-by-step explanation:
<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:
[80 - x]° = [90 - 2x]°
+ x° + x°
______________
80° = [90 - x]°
-90° - 90°
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−10° = [−x]°
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