Chapter 9.7, Problem 28E

a.

To determine

To find the distance between the top of the coffeepot and the ground $x$ and the distance between the bottom of the coffeepot and the ground $y$ .

Answer to Problem 28E

The distance between the top of the coffeepot and the ground $x=125ft$

And the distance between the bottom of the coffeepot and the ground $y=89ft$

Explanation of Solution

Given: The angle of elvation to the top of the coffeepot $={68.2}^0$

The angle of elvation to the bottom of the coffeepot $={60.7}^0$

  

Calculation:

  $\begin{array}{l}\text{In }\Delta ABC,\\ \tan 68.2=\frac{x}{50}\Rightarrow x=50\ast \tan 68.2\\ \Rightarrow x=50\ast 2.5=125ft\\ In\Delta DBC,\\ \tan 60.7=\frac{y}{50}\Rightarrow y=50\ast 1.78=89ft\end{array}$

Hence the distance between the top of the coffeepot and the ground $x=125ft$

And the distance between the bottom of the coffeepot and the ground $y=89ft$

b.

To determine

To find the length of the coffeepot.

Answer to Problem 28E

The coffeepot length = $x-y=125-89=36ft.$

Explanation of Solution

Given:

  

Calculation:

Length of the coffeepot is obtained by subtracting the value of $y$ from $x$ .

The coffeepot length = $x-y=125-89=36ft.$