A chimney casts a shadow 75 ft long when the angle of elevation of the sun is 41 degrees. How tall is the chimney?
A tried to draw a picture and set up an equation but its confusing..
Angle of Elevation question?
2009-03-30 7:13 am
回答 (3)
2009-03-30 7:18 am
✔ 最佳答案
///////tan42=chimney /75
chimney=75tan42=67.5ft
2009-03-30 3:07 pm
Draw a right angled triangel ABC
Chimney is AB is vertical
Shadow is BC is horizontal = 75 ft
/_ C = 41 °
Tan C = AB / 75
AB = 75 tan 41 °
AB = 65.2 ft
Chimney is AB is vertical
Shadow is BC is horizontal = 75 ft
/_ C = 41 °
Tan C = AB / 75
AB = 75 tan 41 °
AB = 65.2 ft
2009-03-30 2:22 pm
Let H be the height of chimney,
Now tan 41 degrees = H/75
H = 75 tan 41 degrees
H = 65.2 ~ 65 feet
Now tan 41 degrees = H/75
H = 75 tan 41 degrees
H = 65.2 ~ 65 feet
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