Chapter 9.4, Problem 81AYU

To determine

To find: the weight of the boat.

Answer to Problem 81AYU

  $4031.13\text{ pounds}$ .

Explanation of Solution

Given:

Magnitude of force required to hold a boat and its traileris $700\text{ pounds}$ .

Inclined angle is ${10}^{\circ }$

Calculation:

As the Magnitude of force required to hold a boat and its trailer is $700\text{ pounds}$ .

According to the question, it is to find AD when $MON={10}^{\circ }andCD=700$ .

  

Now,

  $\begin{array}{l}AB=CD=700\\ \angle ADB={90}^{\circ }-\angle DAB={10}^{\circ }\\ \therefore \sin \angle ADB=\frac{AB}{AD}\\ \Rightarrow AD=\frac{AB}{\angle ADB}\\ =\frac{700}{\sin 10}=4031.13\end{array}$

Hence, the weight of the boat is $4031.13\text{ pounds}$ .