PHOTOGRAPHY Your camera has a 90° field ofvision and you want to photograph the front ofa statue. You move to a spot where the statueis the only thing captured in your picture,as shown. You want to change your position.Where else can you stand so that the statue isperfectly framed in this way?SolutionFrom Theorem 10.9, you know that if a righttriangle is inscribed in a circle, then thehypotenuse of the triangle is a diameter ofthe circle. So, draw the circle that has thefront of the statue as a diameter. The statuefits perfectly within your camera's 90° fieldof vision from any point on the semicircle infront of the statue. In Example 4, we discussed where you could stand to see the entire picture and how aninscribed triangle was used to find the perfect location. Now explain how to find locations if youwant to frame the front and left side of the statue in your picture.

Answered: Image /qna-images/answer/88ea058d-bd64-4d3a-9ba9-0768b975a585.jpg

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.

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.

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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Question

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.

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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