On Road C, the separation between P and Q is 975 feet. Option B is correct.
In mathematics, triangles show a number of similarities. They have three sides and three angles, making them polygons. Their inner angles add up to 180 degrees in all cases. Triangles can be categorized depending on the dimensions of their sides and angles. They serve as the foundation for calculations, proofs, and theorems in geometry and trigonometry. Triangles are essential in applications like calculating areas and resolving trigonometric problems.
In this instance, we can see that there is a triangular similarity issue.
After that, we can use the following connection to find a solution:
[tex]\frac{650+x}{800+1200} = \frac{650}{800}[/tex]
We now remove the value of x.
So, we have:
[tex]650+x=\frac{650}{800}(800+1200)[/tex]
We have rewritten:
[tex]650+x=\frac{650}{800}(2000)[/tex]
[tex]650+x=1625\\x=1625-650\\x=975 feet[/tex]
Thus, On Road C, the separation between P and Q is 975 feet. The B option is correct.
Read more on the Similarity of Triangles:
https://brainly.com/question/11920446
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The correct question is: Construction is underway at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?
A) 433 feet
B) 975 feet
C) 1,050 feet
D) 1,477 feet
The image is given below.