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EXAMPLE 4 Use a circumscribed circle PHOTOGRAPHY Your camera has a 90° field of vision and you want to photograph the front of a statue. You move to a spot where the statue is the only thing captured in your picture, as shown. You want to change your position. Where else can you stand so that the statue is perfectly framed in this way? Solution From Theorem 10.9, you know that if a right| triangle is inscribed in a circle, then the hypotenuse of the triangle is a diameter of the circle. So, draw the circle that has the front of the statue as a diameter. The statue fits perfectly within your camera's 90° field of vision from any point on the semicircle in front of the statue.

EXAMPLE 4 Use a circumscribed circle PHOTOGRAPHY Your camera has a 90° field of vision and you want to photograph the front of a statue. You move to a spot where the statue is the only thing captured in your picture, as shown. You want to change your position. Where else can you stand so that the statue is perfectly framed in this way? Solution From Theorem 10.9, you know that if a right| triangle is inscribed in a circle, then the hypotenuse of the triangle is a diameter of the circle. So, draw the circle that has the front of the statue as a diameter. The statue fits perfectly within your camera's 90° field of vision from any point on the semicircle in front of the statue.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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EXAMPLE 4 Use a circumscribed circle PHOTOGRAPHY Your camera has a 90° field of vision and you want to photograph the front of a statue. You move to a spot where the statue is the only thing captured in your picture, as shown. You want to change your position. Where else can you stand so that the statue is perfectly framed in this way? Solution From Theorem 10.9, you know that if a right triangle is inscribed in a circle, then the hypotenuse of the triangle is a diameter of the circle. So, draw the circle that has the front of the statue as a diameter. The statue fits perfectly within your camera's 90° field of vision from any point on the semicircle in front of the statue. Guided Practice for Example #4 In Example 4, we discussed where you could stand to see the entire picture and how an inscribed triangle was used to find the perfect location. Now explain how to find locations if you want to frame the front and left side of the statue in your picture.
Transcribed Image Text:EXAMPLE 4 Use a circumscribed circle PHOTOGRAPHY Your camera has a 90° field of vision and you want to photograph the front of a statue. You move to a spot where the statue is the only thing captured in your picture, as shown. You want to change your position. Where else can you stand so that the statue is perfectly framed in this way? Solution From Theorem 10.9, you know that if a right triangle is inscribed in a circle, then the hypotenuse of the triangle is a diameter of the circle. So, draw the circle that has the front of the statue as a diameter. The statue fits perfectly within your camera's 90° field of vision from any point on the semicircle in front of the statue. Guided Practice for Example #4 In Example 4, we discussed where you could stand to see the entire picture and how an inscribed triangle was used to find the perfect location. Now explain how to find locations if you want to frame the front and left side of the statue in your picture.
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