Chapter 12.4, Problem 39SR

To determine

The distance covered by Tara from her starting point.

Answer to Problem 39SR

The distance covered by Tara from her starting point is $24.6miles$ .

Explanation of Solution

Given:

  $\begin{array}{l}b=22miles\\ c=11miles\end{array}$

Concept Used:

The pythagorus formula is written as:

  ${\left(AC\right)}^2={\left(AB\right)}^2+{\left(BC\right)}^2$

Where,

Sides of the right angle traingle: $AB,BC$

Hypotenus of the right angle traingle: $AC$

Calculation:

Let’s draw the given problem condition:

The distance covered by Tara from her starting point is calculated by using the following formula:

  ${\left(AC\right)}^2={\left(AB\right)}^2+{\left(BC\right)}^2$

  ${\left(AC\right)}^2={\left(22\right)}^2+{\left(11\right)}^2$

  ${\left(AC\right)}^2=605$

  $AC=24.5967$

The distance covered by Tara from her starting point is $24.6miles$ .

Conclusion:

Hence, the distance covered by Tara from her starting point is $24.6miles$ .