Ms. Garcia's science students are studying scale models. For her science project, Sarah has decided to make a scale model of the
solar system. She is using the model you see here as inspiration. She plans to use this as her starting point and add the remaining planets in the correct orbits around the Sun. Sarah conducted some research to help her with the diameters of the planets and Sun in her model and found the table you see above. If Sarah uses a ball for Earth that is 4" in diameter, how much bigger must the Sun be in her model?
A) 10 times bigger
B) 109 times bigger
C) 109 inches
D) 400 inches
A) 10 times bigger
B) 109 times bigger
C) 109 inches
D) 400 inches
1 answer:
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We can change the law of sines a little bit to match our problem.
We know what angle Y is and what side y is, so let's use that along with angle Z and side z:
Plug in what we know:
Multiply 'z' to both sides:
Divide sin(51)/2.6 to both sides:
Plug it into your calculator.
We know what angle Y is and what side y is, so let's use that along with angle Z and side z:
Plug in what we know:
Multiply 'z' to both sides:
Divide sin(51)/2.6 to both sides:
Plug it into your calculator.