Time: 9:30am

tan = oppositeadjacent

tan = 2.84 m2.34 m

tan = 1.2136 = tan-1(1.2136)

= 50° 30' 41.97"

Time: 10:30am

tan = oppositeadjacent

tan = 2.84 m1.19m

tan = 2.3865

= tan-1(2.3865)

= 67° 15' 54.58"

Time: 1:10pm

tan = oppositeadjacent tan = 2.84 m1.04.m

tan = 2.7307

= tan-1(2.7307)

= 69° 53' 12.99"

Time: 2:15pm tan = oppositeadjacent tan = 2.84 m1.9m

tan = 1.4947

= 56° 12' 58.56"

= tan-1(1.4947)

DATA TABLE

Time of the day| Shadow length(m) of an object with a fixed height of 2.84m| Angle of elevation of the sun| 9:30am| 2.32m| 50° 30' 41.97"|

10:30am| 1.19m| 67° 15' 54.58"|

1:10pm| 1.04m| 69° 53' 12.99"|

2:15pm| 1.9m| 56° 12' 58.56"|

Conclusion:

Sunlight shifts over the course of the day, hitting the earth directly around noon, from the east in the morning and from the west in the evening. At different times of the day, shadows get longer and shorter or may even disappear. People have relied on the sunlight’s changing directions and its effect on shadows as their basis to tell time.

The size of the shadow casted depends on...

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