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2 answers:
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Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
<u>According to the Figure Given:</u>
Total Horizontal Distance = 14 in
Length = 6 in
<u>To Find :</u>
The Area of the composite figure
<u>Solution:</u>
Firstly we need to find the area of Rectangular part.
So We know that,
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
- Since Length = 6 in ;
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
- Total Horizontal Distance= 14
- Radius = 6
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
- Length = 6
- Breadth = 8
Then, We need to find the area of Quarter circle :
We know that,
Now Substitute their values:
- r = radius = 6
- π = 3.14
Solve it.
Now we can Find out the total Area of composite figure:
We know that,
So Substitute their values:
= 48
= 28.26
Solve it.
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
I hope this helps!
Answer:
The angle is approximately .
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
To get the angle, we need to use inverse tangent:
The angle is approximated when rounded to the nearest degree.
