Question

A photographer frames a carousel in her camera shot so that the line of sight forms a tangent segments to the carousel. If she wants to capture an arc measure if 150 degrees in the photograph, what viewing angle should be used?

Answer 1

Answer:the answer is 30

Explanation:

I got lucky and guessed

Answer 2

Answer:
`30^(\circ)`

Explanation:

According to the given information:

Minor arc = 150°

Major arc = 360°-150°=210°

Since angle made by tangents is equal to the half of the difference between the major and the minor arcs made by them.

Let x be the viewing angle (angle made by tangents):

Then,

`x=(1)/(2)(\text{Major arc -Minor arc})\\\\\Rightarrow\ x=(210^(\circ)-150^(\circ))/(2)\\\\\Rightarrow\ x=(60^(\circ))/(2)\\\\\Rightarrow\ x=30^(\circ)`

Hence, the viewing angle should be used=
`30^(\circ)`