An excavation has a volume of 203 cubic feet. the material weighs 1,200 pounds per cubic yard. what is the weight of the exca- vation? a. 2,700 pounds b. 9,000 pounds c. 81,120 pounds d. 243,600 pounds

Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Volume of an excavation = 203 cubic feet

Weight of the material = 1200 pounds per cubic yard

So, the weight of the excavation would be

Volume of an excavation × Weight of the material

Hence, the weight of the excavation is 243,600 pounds.

Therefore, Option 'd' is correct.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,