Three departments of factory employ a total of 1274 people. Department B employs 70 people more than department A and department C employs 84 more workers than department B. How many people work in each department?

 No . of people in department A =  350

No . of people in department B =  420

No . of people in department C = 504

Step-by-step explanation:

Let the no . of people in department A be x

Given

Department B employs 70 people more than department A

Therefore,

no . of people in department B = x + 70

Again Given

department C employs 84 more workers than department B.

Therefore,

no . of people in department c = no . of people in department B + 84

no . of people in department c =  x + 70 + 84 = x + 154

Total no. of people in all the department in terms of x = x + x+ 70+ x+154

Total no. of people in all the department in terms of x = 3x +224

Problem says

Three departments of factory employ a total of 1274 people

Therefore

3x +224 = 1274

=> 3x = 1274 - 224 = 1050

=> x = 1050/3 = 350

Thus,

 no . of people in department A = x = 350

no . of people in department B = x + 70 = 350 + 70 = 420

no . of people in department c = x + 154 = 350 + 154 = 504

a² + b²= c²

24² + 7² = c²

c= 25

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,