• anonymous
On a sunny day, a 30-m tall flag pole and its shadow form the sides of a right triangle. On this particular day, the sun rises at 6 AM and sets at 6 PM. At what time of the morning (to the nearest minute) will the length of the shadow be exactly 40 m? (Hint: determine the angle of elevation of the sun)
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • jamiebookeater
I got my questions answered at in under 10 minutes. Go to now for free help!
  • xkehaulanix
I'm not completely sure on this one, but hopefully it's correct. \[\tan^{-1} (30/40)= \angle sun\]=36.87º The sunlight lasts for twelve hours (6 AM to 6 PM), and in that period of time it travels 180º. Therefore: 180º/12 hours= 15º per hour 36.87º/(15º per hour)=2.45799 hours This is equivalent to 2 hours + .45799 hours. 6AM+ 2 hrs + .45799 hrs = 8AM +.45799 hrs \[.45799 hrs \times 60 \min \approx 27 \min\] 8AM + 27 min= 8:27 AM
  • anonymous
thank you :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.