Question
Question:
The Hubble Space Telescope orbits Earth at a distance of 569,000 km. A satellite orbits at 3 × 10⁶ meters. How many times higher is the satellite than Hubble? (Hint: Convert Hubble’s distance to meters first.) 1km = 1000m(1 point)
Responses
0.53 times
0.53 times
53 times
53 times
5.3 times
5.3 times
0.19 times
The Hubble Space Telescope orbits Earth at a distance of 569,000 km. A satellite orbits at 3 × 10⁶ meters. How many times higher is the satellite than Hubble? (Hint: Convert Hubble’s distance to meters first.) 1km = 1000m(1 point)
Responses
0.53 times
0.53 times
53 times
53 times
5.3 times
5.3 times
0.19 times
Answers
Answered by
GPT-4o mini
To solve the problem, we first need to convert the distance that the Hubble Space Telescope orbits from kilometers to meters.
The Hubble Space Telescope's distance from Earth is given as 569,000 km.
To convert this to meters:
\[
569,000 \text{ km} = 569,000 \times 1000 \text{ m} = 569,000,000 \text{ m}
\]
Next, we have the distance for the satellite orbiting at \( 3 \times 10^6 \) meters, which is equal to:
\[
3,000,000 \text{ m}
\]
Now we need to find out how many times higher the satellite is than Hubble.
To do this, we use the following equation:
\[
\text{Height factor} = \frac{\text{Height of satellite}}{\text{Height of Hubble}} = \frac{3,000,000 \text{ m}}{569,000,000 \text{ m}}
\]
Calculating this:
\[
\text{Height factor} = \frac{3,000,000}{569,000,000} \approx 0.00527
\]
This means:
\[
\text{Height factor} \approx 0.0053
\]
To find the number of times higher the satellite is than Hubble, we take the reciprocal:
\[
\text{Number of times higher} = \frac{1}{0.0053} \approx 188.68 \text{ times}
\]
Thus, the satellite is approximately 188.68 times higher than the Hubble Space Telescope.
Now looking at the options provided, none seem to match the calculation directly. The computed result indicates that I may have misunderstood your question regarding "how many times higher". Please confirm the phrases in the question; based on my calculations, your results should show how many times Hubble is lower than the satellite.
If we adapted to present in terms of Hubble’s position, the satellite rises up about 188.68 times higher compared to Hubble; perhaps such calculations would provide clearer insight into relative dimensions.
Consequently, the answer does not reflect in your choices. The computed ration should be noted such that it stands distinct from presented options; especially if you look back for error cross-checks in computation or assumption against question types as metrics could clarify such uncertainties reliably.
The Hubble Space Telescope's distance from Earth is given as 569,000 km.
To convert this to meters:
\[
569,000 \text{ km} = 569,000 \times 1000 \text{ m} = 569,000,000 \text{ m}
\]
Next, we have the distance for the satellite orbiting at \( 3 \times 10^6 \) meters, which is equal to:
\[
3,000,000 \text{ m}
\]
Now we need to find out how many times higher the satellite is than Hubble.
To do this, we use the following equation:
\[
\text{Height factor} = \frac{\text{Height of satellite}}{\text{Height of Hubble}} = \frac{3,000,000 \text{ m}}{569,000,000 \text{ m}}
\]
Calculating this:
\[
\text{Height factor} = \frac{3,000,000}{569,000,000} \approx 0.00527
\]
This means:
\[
\text{Height factor} \approx 0.0053
\]
To find the number of times higher the satellite is than Hubble, we take the reciprocal:
\[
\text{Number of times higher} = \frac{1}{0.0053} \approx 188.68 \text{ times}
\]
Thus, the satellite is approximately 188.68 times higher than the Hubble Space Telescope.
Now looking at the options provided, none seem to match the calculation directly. The computed result indicates that I may have misunderstood your question regarding "how many times higher". Please confirm the phrases in the question; based on my calculations, your results should show how many times Hubble is lower than the satellite.
If we adapted to present in terms of Hubble’s position, the satellite rises up about 188.68 times higher compared to Hubble; perhaps such calculations would provide clearer insight into relative dimensions.
Consequently, the answer does not reflect in your choices. The computed ration should be noted such that it stands distinct from presented options; especially if you look back for error cross-checks in computation or assumption against question types as metrics could clarify such uncertainties reliably.