Answer:
The height of the trough is about 1.5 ft
Explanation:
If each cubic foot of water contains about 7.5 gallons.
Then; 315 gallons is about
![(315)/(7.5)=42ft^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/x06ej1fd7xog9f06lxnh8xhpnlx4ft6s5t.png)
Let h be the height of the trough, then
![7* 4* h=42](https://img.qammunity.org/2020/formulas/mathematics/high-school/5tl3b05wgcm6z6qtx2icmrl5zbikly5a94.png)
This implies that;
![28h=42](https://img.qammunity.org/2020/formulas/mathematics/high-school/nukfuqofmfd15b92l7337lb62xh1fab17x.png)
Divide both sides by 28 to get:
![h=(42)/(28)](https://img.qammunity.org/2020/formulas/mathematics/high-school/vu4ojy6e5n99c5d4wcz8ve7vme2bphwj8i.png)
![\therefore h=1.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/qd6w1enj60l5ydeemkhqukh2kr7twiofqw.png)
The height of the trough is about 1.5 ft