Answer:
Step-by-step explanation:
tanθ = 48/64 = x/48
x = 48²/64 = 36
The ratio of the area of square PQRS to the area of square ABCD is 5/9
<h3>Area of square ABCD</h3>
Assume the measure of the side lengths of the square ABCD is 1, then the area of the square ABCD is:
See attachment for the diagram that represents the relationship between both squares.
<h3 /><h3>
Pythagoras theorem</h3>
The measure of length PQ is then calculated using the following Pythagoras theorem:
Evaluate the squares
Add the fractions
<h3>Area of square PQRS</h3>
The above represents the area of the square PQRS.
i.e.
So, the ratio of the area of PQRS to ABCD is:
This gives
Hence, the ratio of the area of square PQRS to the area of square ABCD is 5/9
Read more about areas at:
brainly.com/question/813881
30 × 30 + 50 × 50 = 3400
square root of 3400 is 58.31 feet.
58.31 feet is the angle of elevation of the kite.
The correct option is D for the placement of regular polygon and the rhombus.
<h3>What is defined as the
regular polygon?</h3>
- A polygon is a two-dimensional enclosed image created by connecting three or more straight lines.
- A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
- A polygon is made up of three parts:
- Sides: A side is a line segment that connects two vertices.
- Vertices: A vertex is the point where two sides meet.
- Interior and exterior angles An interior angle is an angle formed by joining the sides of a polygon within its enclosed surface.
As, all the given figures comes under the regular polygon, all are placed in the left circle.
But the three diagram in white, orange and blue colour are regular polygon along with rhombus.
Thus, all three are placed in the intersection of the both circle of the vein diagram.
To know more about the regular polygon, here
brainly.com/question/1592456
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The large angle = 120 degrees
Supplementary angles are two angles whose measures add up to 180°
Since we know from the ratio that one angle is twice the size of the other, the angles have to be 60 and 120.
