Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1 three seismograph stations (1, 2, and 3) record an earthquak…

Question

question 1
three seismograph stations (1, 2, and 3) record an earthquake. a researcher plots circles on a map
using the records of the seismograph stations as shown in the image. he labels the points on the
intersections of the circles as p, q, r, and s.
which letter represents the location of the epicenter of the earthquake?
a p
b q
c r
d s

Explanation:

Step1: Recall the concept of earthquake epicenter location

The epicenter of an earthquake is located at the intersection point of the circles drawn from three seismograph stations (using the distance - from - station data). This is based on the principle that the distance from each seismograph station to the epicenter is the radius of the respective circle.

Step2: Analyze the intersection points

Looking at the intersection points \(P\), \(Q\), \(R\), and \(S\). The point \(Q\) is the common intersection of the three circles (Staion 1, Station 2, and Station 3 circles). While \(P\) is the intersection of Station 1 and Station 2 circles only, \(R\) and \(S\) do not lie on all three circles.

Answer:

B. \(Q\)