Question

the street that ryann typically uses to get to jennys house is under construction. she has been taking the detour shown.

if the construction starts at the point where ryann leaves her normal route and ends at the point where she re-enters her normal route, about how long is the stretch of road under construction?

round to the nearest hundredth.

Explanation:

Step1: Identify Pythagorean theorem

The triangle is right-angled, so use $a^2 + b^2 = c^2$, where $c=1.8$, $b=0.8$, solve for $a=x$.
Rearrange to $x = \sqrt{c^2 - b^2}$

Step2: Calculate squared values

$1.8^2 = 3.24$, $0.8^2 = 0.64$

Step3: Subtract and take square root

$x = \sqrt{3.24 - 0.64} = \sqrt{2.6}$

Step4: Compute final value

$\sqrt{2.6} \approx 1.61$

Answer:

1.61 miles