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kow [346]
3 years ago
13

A photographer frames a carousel in her camera shot so that the line of sight forms a tangent segments to the carousel. If she w

ants to capture an arc measure if 150 degrees in the photograph, what viewing angle should be used?

Mathematics
2 answers:
bezimeni [28]3 years ago
5 0

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}

blondinia [14]3 years ago
3 0

Answer:the answer is 30

Step-by-step explanation:

I got lucky and guessed

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