Verified Answer :
To find steeper mountain for Joe and Bob, we have to find the ratio of peak of mountain and base. Thus, the slope rise by both climber are \(\frac{4}{5}\;\amp;\;\frac{9}{10}\).
Given:
Mountain climber Joe climb to a mountain peak that was \(1200\;\rm{feet}\) above its base and \(1500\;\rm{feet}\) east of it base.
According to the question, Joe climbed a mountain with a rise of 1200 feet and a run of 1500 feet.
So, the slope would be 1200 over 1500 that can calculated as,
\(\frac{1200}{1500} =\frac{12}{15}=\frac{4}{5}\)
Now, Bob climbed to a mountain peak that was 9000 feet above its base in 1000 feet east of its base who climbed a steeper mountain.
So, the slope would be 900 over 1000 that can calculated as,
\(\frac{900}{1000} =\frac{9}{10}=\frac{9}{10}\)
Hence, slope rise by both climber are \(\frac{4}{5}\;\amp;\;\frac{9}{10}\).
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Bob climb more steeper mountain than the Joe and this can be determine by first evaluate the slope of each mountain and than compare both the slope.
Given :
- Joe climb to a mountain peak that was 1200 feet above its base and 1500 feet east of it base.
- Bob climbed to a mountain peak that was 900 feet above its base in 1000 feet east of its base.
Slope has to be determine to find which climber climbed a steeper mountain. So, mountain climber Joe climb to a mountain peak that was 1200 feet above its base and 1500 feet east of it base therefore, the slope of the mountain will be:
\(\rm Slope = m_1 = \dfrac{1200}{1500}\)
\(\rm m_1 = \dfrac{4}{5}\)
Now, mountain climber Bob climbed to a mountain peak that was 900 feet above its base in 1000 feet east of its base therefore, the slope of the mountain will be:
\(\rm Slope = m_2 = \dfrac{900}{1000}\)
\(\rm m_2 = \dfrac{9}{10}\)
From the above calculation it can concluded that \(m_2 > m_1\). Therefore, Bob mountain is more steeper than the Joe mountain.
For more information, refer the link given below:
https://brainly.com/question/11528842