Chapter 4, Problem 102RE

Solution

(a)

To calculate: Height.

  $h=28.1ft$

Given information: elevation = ${22}^{\circ }$ breadth = $75ft$

Formula used: Trigonometry

Calculation: let h be the height of the hay that is going to be moved, in ft and draw the situation as shown:

  

Use the sine function to find h since it is the side opposite the given angle and the hypotenuse is given:

  $\begin{array}{c}\sin {22}^{\circ }=\frac{opp}{hyp}=\frac{h}{75}\\ h=75\sin {22}^{\circ }\\ h\approx 28.1ft\end{array}$

(b)

To calculate: Height.

  $h=34.04ft$

Given information: elevation = ${27}^{\circ }$ breadth = $75ft$

Formula used: Trigonometry

Calculation: let h be the height of the hay that is going to be moved, in ft and draw the situation as shown:

  

Use the sine function to find h since it is the side opposite the given angle and the hypotenuse is given:

  $\begin{array}{c}\sin {27}^{\circ }=\frac{opp}{hyp}=\frac{h}{75}\\ h=75\sin {27}^{\circ }\\ h\approx 34.04ft\end{array}$