Helppppp meeeeeeee I need the answer
1 answer:
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See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
The strategy
<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
</span>
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>Forming an equation and solving
</span>
Denoting the missing angle by θ, we obtain the equation
<span>
</span>Solving the equation, we get
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =
degrees.
<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
</span>
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>Forming an equation and solving
</span>
Denoting the missing angle by θ, we obtain the equation
</span>Solving the equation, we get
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =