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:  $30^{\circ}$

Step-by-step 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,

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

Hence, the viewing angle should be used=$30^{\circ}$

Answer 2

Answer:the answer is 30

Step-by-step explanation:

I got lucky and guessed