Question

A 75-ft-long conveyor is used at the Lovelady Farm to put hay bales up for winter storage. The conveyor is tilted to an angle of elevation of 22°. To what height can the hay be moved?

Answer 1

Answer: The height of hay would be 28.09 ft.

Step-by-step explanation:

Since we have given that

Length of conveyor is used at the Lovelady farm = 75 ft

Angle of elevation = 22°

Here, Hypotenuse = 75 ft

and we need to find the height of hay that can be moved.

So, height of hay = Perpendicular.

So, we will apply "Sine rule" :

$\sin 22^\circ=\dfrac{perpendicular}{Hypotenuse}\\\\\sin 22^\circ=\dfrac{Perpendicular}{75}\\\\75\times \sin 22^\circ=perpendicular\\\\28.09=perpendicular$

Hence, the height of hay would be 28.09 ft.