Question:
The shadow of a tower becomes x m longer, when the angle of elevation of sun changes from 60° to θ. If the height of the tower is √3x m, then which one of the following is correct?
The shadow of a tower becomes x m longer, when the angle of elevation of sun changes from 60° to θ. If the height of the tower is √3x m, then which one of the following is correct?
Options:
- 0 < θ < 30°
- 60° < θ < 90°
- 30° < θ < 45°
- 45° < θ < 60°
- 0 < θ < 30°
- 60° < θ < 90°
- 30° < θ < 45°
- 45° < θ < 60°
Correct Answer: c)
Explanation:
‘ In ΔABC,
1 4 1
1
Vax
C1 A A
B ce—Xx—D
AB _ o_, V3z _
1 Bc = tan 60 ⇒¥5=43
i = BC =z …(1)
1 Now, in AABD
‘ 4B — tan = 3 = tang – BD = BC + CD and CD = x = BC “
i = tang = 3 (of 
‘ In ΔABC,
1 4 1
1
Vax
C1 A A
B ce—Xx—D
AB _ o_, V3z _
1 Bc = tan 60 ⇒¥5=43
i = BC =z …(1)
1 Now, in AABD
‘ 4B — tan = 3 = tang – BD = BC + CD and CD = x = BC “
i = tang = 3 (of