Problem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m, and 85 m. Find the radius of the largest circle.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Engineering mechanics

Problem 1.
Three circles are tangent externally. The distance between their centers are 60 m, 73
m, and 85 m. Find the radius of the largest circle.
Problem 2.
Six congruent circles are arranged in a way that each circle is tangent to at least two other
circles. If the radius of each circle is 2 m, find the perimeter of the polygon formed by
connecting the centers of each circle.
Problem 3
If y varies inversely as z and y = 23 when z = 45,000, find y when z = 54,000.
Problem 4
From a window of a building 5.25m above the ground, the angle of elevation of the top
of a nearby building is 35.6 degrees and the angle of depression of its base is 28.2
degrees. What is the height of the nearby building?
Problem 5
From a point A (Elev. 042.5), the angle of elevation of the top of the tower is 35
degrees, from a point B 325 m nearer
angle of elevation of the top of the tower is 55 degrees. What is the elevation of the top
of the tower?
the tower and 18.65 m below the point A, the
Transcribed Image Text:Problem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m, and 85 m. Find the radius of the largest circle. Problem 2. Six congruent circles are arranged in a way that each circle is tangent to at least two other circles. If the radius of each circle is 2 m, find the perimeter of the polygon formed by connecting the centers of each circle. Problem 3 If y varies inversely as z and y = 23 when z = 45,000, find y when z = 54,000. Problem 4 From a window of a building 5.25m above the ground, the angle of elevation of the top of a nearby building is 35.6 degrees and the angle of depression of its base is 28.2 degrees. What is the height of the nearby building? Problem 5 From a point A (Elev. 042.5), the angle of elevation of the top of the tower is 35 degrees, from a point B 325 m nearer angle of elevation of the top of the tower is 55 degrees. What is the elevation of the top of the tower? the tower and 18.65 m below the point A, the
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