If 818=8,707=5,452=2,1247=?
1 answer:
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Hey. Let me help you on this one.
In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.
I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.
Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.
First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.
We know that we need to use
(Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.
Let's form the function which, Hypotenuse, and Adjacent side.
Now, let's solve the left part of this function
Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.
Awesome. Let's round this number to the closest tenth
is the rounded value we have discussed below.
Answer: 63.3 degrees is the unknown measure of the angle
In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.
I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.
Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.
First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.
We know that we need to use
Let's form the function which
Now, let's solve the left part of this function
Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.
Awesome. Let's round this number to the closest tenth
Answer: 63.3 degrees is the unknown measure of the angle
The area of the figure is 40 units. (rounded off from 39.998 units)
Step-by-step explanation:
1. Area of the figure = Area of Rectangle + Area of Parallelogram.
2. Naming points:
Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).
Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).
3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.
In simple words, in A(-6,1), x' = -6; y' = -1
4. Formula for finding area:
Area of a rectangle = length (l) × width (w)
Area of a parallelogram = base (b) x height (h)
5. Finding area of the rectangle:
l = AD =
, i.e. AD =
, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l
Now, w = AB =
, i.e. AB =
, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w
Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.
6. Finding area of the parallelogram:
b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)
h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.
Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.
7. Now, adding both, we can arrive at the final answer.
Area of the figure = Area of rectangle + Area of parallelogram,
i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)