A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it?
I got 50 feet for the length of the shadow. What I cannot find out is, what time is it?
I NEED THE TIME OF DAY. **NOT** THE LENGTH OF THE TOWER'S SHADOW
since the angle of elevation of the sun is about 30°, all we can say is that it's about 2 hours after sunrise, whenever that was.
Or, 2 hours before sunset.
Pretty vague question.
Ghfbnnxv
To determine the time of day based on the information provided, we need to understand how shadows change throughout the day.
The length of a shadow cast by an object is determined by the angle of the sun's rays hitting the object. Since we know the 6-foot man's shadow is 10 feet long, we can use similar triangles to calculate the height of the radio tower.
Let's label the height of the radio tower as "H" and the height of the man as "h". We can set up the following proportion:
H/h = shadow length of the tower/shadow length of the man
Using the values given, we get:
H/6 = 30/10
Simplifying the proportion, we find:
H = (6 x 30) / 10 = 18 feet
Therefore, the shadow cast by the tower is 18 feet long, not 50 feet as initially assumed.
Now, to determine the time of day, we need to consider the angle of the sun's rays. The length of the shadow cast by an object will be longest when the sun is low on the horizon in the morning or evening. As the day progresses, the sun moves higher in the sky, causing the shadows to shorten.
Since the shadow cast by the tower is 18 feet long, we can infer that it is either early morning or late afternoon. To determine the exact time, we would need additional information, such as the date and location, as well as knowledge about the sun's angle and shadow lengths at different times of the day for that specific location.
Therefore, without more context or information, it is not possible to accurately determine the specific time of day based solely on the given information.