The height of the kite will be 53.32 feet above the ground.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
- letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?
The height of the kite above the ground will be calculated as:-
![Sin\theta = \dfrac{perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=Sin%5Ctheta%20%3D%20%5Cdfrac%7Bperpendicular%7D%7BHypotenuse%7D)
![Sin(29)=\dfrac{H}{110}](https://tex.z-dn.net/?f=Sin%2829%29%3D%5Cdfrac%7BH%7D%7B110%7D)
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
385 different combinations
Step-by-step explanation:
In order to find the number of different combinations when given the number of options, simply multiply all options together - almost as if you were solving for the volume of a rectangular prism.
For example, if I were given 3 different colors and 2 different interior materials, I would have 6 different combinations of cars, because 3x2 is 6.
In this case, 11x5x7 is 385!
Answer:
![-\frac{51}{10}](https://tex.z-dn.net/?f=-%5Cfrac%7B51%7D%7B10%7D)
Step-by-step explanation:
let me know if this right please :(
ANSWER
True
EXPLANATION
We want to find the equation of the axis of symmetry of the given function:
![y=2x^2-8x+3](https://tex.z-dn.net/?f=y%3D2x%5E2-8x%2B3)
The axis of symmetry of the function is given by:
![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
where b = coefficient of x
a = coefficient of x²
From the given function:
![\begin{gathered} a=2 \\ \\ b=-8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%3D2%20%5C%5C%20%20%5C%5C%20b%3D-8%20%5Cend%7Bgathered%7D)
Therefore, the equation for the axis of symmetry of the function is:
![\begin{gathered} x=-\frac{-8}{2(2)} \\ \\ x=-\frac{-8}{4}=-(-2) \\ \\ x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D-%5Cfrac%7B-8%7D%7B2%282%29%7D%20%5C%5C%20%20%5C%5C%20x%3D-%5Cfrac%7B-8%7D%7B4%7D%3D-%28-2%29%20%5C%5C%20%20%5C%5C%20x%3D2%20%5Cend%7Bgathered%7D)
Therefore, it is true.
Answer:
x(x-8) + 12 = 0.
Step-by-step explanation: