Chapter 12.4, Problem 35E

(a)

To determine

To Find: $SL.$

Answer to Problem 35E

  $SL=2.1miles$

Explanation of Solution

Given:

  

Using exterior angle property.

  $\begin{array}{l}\angle TSL=\angle R+\angle L\\ 70=35+\angle L\\ \angle L={35}^{°}\end{array}$

Since

  $\begin{array}{l}\angle R\cong \angle L\\ SL\cong SR\\ Thus\\ SR=SL=2.1miles\end{array}$

Hence, $SL=2.1miles$

(b)

To determine

To Explain: How to find the distance between the boat and shoreline.

Explanation of Solution

Given:

  

Find the point on shoreline that has an angle of ${45}^{°}$ from the boat.

Now measures the distance that the boat travels until it forms a right angle.

This distance is same as the distance between the boat and the shoreline because the triangle formed is an isosceles triangle.