Answer:
.
Step-by-step explanation:
By considering the given information we draw a picture to represent the situation ( given in attachment)
Since the tower stands vertical to the ground , therefore , the triangle is a right triangle.
Let x be the angle of elevation from a point 50 feet from the base of the tower to the top of tower.
According to the trigonometry , the tangent of an angle is the ratio of "the side opposite to angle" to "the side adjacent to the angle".
For the triangle below , ![\tan x=\dfrac{200}{50}=4\\\\ x=\tan^{-1}(4)=1.32581766\ radians\ [\text{By scientific calculator}]\\\\=1.32581766\times\dfrac{180^{\circ}}{\pi}\ \\\\=75.9637563^{\circ}=75.96^{\circ}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B200%7D%7B50%7D%3D4%5C%5C%5C%5C%20x%3D%5Ctan%5E%7B-1%7D%284%29%3D1.32581766%5C%20radians%5C%20%5B%5Ctext%7BBy%20scientific%20calculator%7D%5D%5C%5C%5C%5C%3D1.32581766%5Ctimes%5Cdfrac%7B180%5E%7B%5Ccirc%7D%7D%7B%5Cpi%7D%5C%20%5C%5C%5C%5C%3D75.9637563%5E%7B%5Ccirc%7D%3D75.96%5E%7B%5Ccirc%7D)
[Note:To convert radians into degrees we multiply it by
and divide it by
]
Hence, the angle of elevation from a point 50 feet from the base of the tower to the top of tower is
.
The statements that give a correct interpretation of the above expressions is Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months.
Expression A has initial value of 624, while expression B has initial value of 725
<h3>What is expression?</h3>
An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.
according to the data given,
The company's records show the sales of short boards decrease every three months as represented by expression A.
The company's records show that the sales of long boards increase every four months by expression B.
Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months
Expression A has initial value of 624, while expression B has initial value of 725.
Learn more about this concept here:
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Answer:
14 maybe
Step-by-step explanation:
The answer for that is going to be x=1
Answer:
r = 17 units
Step-by-step explanation:
The radius is the distance from the centre (- 7, - 1) to the point on the circle
(8, 7)
Use the distance formula to calculate the radius (r)
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)
r = ![\sqrt{(8+7)^2+(7+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%2B7%29%5E2%2B%287%2B1%29%5E2%7D)
= ![\sqrt{15^2+8^2}](https://tex.z-dn.net/?f=%5Csqrt%7B15%5E2%2B8%5E2%7D)
= ![\sqrt{225+64}](https://tex.z-dn.net/?f=%5Csqrt%7B225%2B64%7D)
=
= 17 units