How does equal 33.17? show work if possible

Hi... something's not copied correctly in your problem.

sin 100 = 0.9848

5/9 of that is 0.5471

that happens to also be sin 33.17

So maybe it was ... sin A  = (5/9)(sin 100)

or sin A = (5 sin 100)/9

or 9 sin  A = 5 sin 100

But that's the only thing that makes sense, that you are suppose to be showing the sine of 33.17 degrees is equal to the same thing as (5 sin 100) /9.

Hope that helps.

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,