Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?

9514 1404 393

  $240,000

Step-by-step explanation:

Let f represent Mr. Sanford's fortune.

1/2x went to April, so 1/2x remains.

1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.

1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.

That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...

  8 × $30,000 = $240,000

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,