Question

(c) find x, the length of the hypotenuse. give an exact a
x = √29
(d) each unit on the map represents 1.5 kilometers in rea
your answer to the nearest tenth.
kilometers

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c=\sqrt{a^{2}+b^{2}}\). Here \(x = \sqrt{29}\) is already given as the length of the hypotenuse in part (c).

Step2: Convert to real - world distance

Since each unit on the map represents \(1.5\) kilometers, and the length of the hypotenuse is \(\sqrt{29}\) units. The real - world distance \(d\) is \(d = 1.5\times\sqrt{29}\).
Calculate \(1.5\times\sqrt{29}\approx1.5\times5.385 = 8.0775\approx8.1\) (rounded to the nearest tenth).

Answer:

8.1