A property worth 10480 is shared between a widow and her 10 children in a ratio 1:4. The children shared their portion equally . Find each child’s share

$838.4

Step-by-step explanation:

Children = (4/5)×10480

= $8384

Each child: 8384/10

= $ 838.4

838.40

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 10480 by 5 to find the value of one part of the ratio

10480 ÷ 5 = 2096 ← value of 1 part of the ratio, thus

4 parts = 4 × 2096 = 8384

Divide 8384 by 10 to find each child's share

8384 ÷ 10 = 838.40

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,