Chapter 8.7, Problem 6CE

(a)

To determine

To Find : The angle of elevation of the driveway.

Answer to Problem 6CE

Angle of elevation of the driveway is 8.5° .

Explanation of Solution

Given information:

A driveway has 15% grade.

Suppose the angle of elevation of the driveway is x then,

  $\begin{array}{l}tanx=0.15\hfill \\ tanx=tan8.5°\hfill \\ x=8.5°\hfill \end{array}$

Hence Angle of elevation of the driveway is $8.5°$ .

(b)

To determine

To Find : The height of the driveway.

Answer to Problem 6CE

The driveway will rise at the height of $1.8m$ .

Explanation of Solution

Apply the tan formula in the right angle triangle,

  $\begin{array}{l}tanx=\frac{Perpendicular}{Base}\hfill \\ 0.15=\frac{h}{2}\hfill \\ h=12\times 0.15\hfill \\ h=1.8m\hfill \end{array}$

Hence the driveway will rise at the height of $1.8m$ .