Question

the distance between vega and deneb is 6 coordinates. the distance between deneb and altair is 11 coordinates. what is the distance between vega and altair on the star map? round your answer to the nearest tenth. the distance between vega and altair on the star map is about coordinates.

Explanation:

Step1: Apply the Pythagorean theorem

Let \(a = 6\) and \(b=11\). The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\), where \(c\) is the distance between Vega and Altair.
Substitute \(a = 6\) and \(b = 11\) into the formula: \(c=\sqrt{6^{2}+11^{2}}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(6^{2}=36\) and \(11^{2}=121\). Then \(a^{2}+b^{2}=36 + 121=157\).
So \(c=\sqrt{157}\).

Step3: Approximate the value of \(\sqrt{157}\)

\(\sqrt{157}\approx12.5\) (rounded to the nearest tenth).

Answer:

\(12.5\)