A tree 6 meter tall cast a four meter long shadow. at the same time, a flag pole casts a shadow 15 meter long. how long is the flag pole?
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Hello Dear.
Refers to the attachment for the Answer ⇒
Angle made by the sun at the same time are equals. Therefore, ∠ C = ∠ R = θ (From the attachment)
Height of the Tree = 6 m.
Length of the Shadow of the tree = 4 m.
tan θ = P/B
= PQ/QR
= 6/4
= 3/2 -------eq(i)
Let the height of the Flag pole be h m.
Length of the shadow of the Flag pole = 15 m.
tan θ = AB/BC
= h/15 ------eq(ii)
Equating eq(i) and eq(ii),
3/2 = h/15
⇒ h = 45/2
⇒ h = 22.5 m.
Hence, Height of the Flag pole is 22.5 m.
Hope it helps.
Refers to the attachment for the Answer ⇒
Angle made by the sun at the same time are equals. Therefore, ∠ C = ∠ R = θ (From the attachment)
Height of the Tree = 6 m.
Length of the Shadow of the tree = 4 m.
tan θ = P/B
= PQ/QR
= 6/4
= 3/2 -------eq(i)
Let the height of the Flag pole be h m.
Length of the shadow of the Flag pole = 15 m.
tan θ = AB/BC
= h/15 ------eq(ii)
Equating eq(i) and eq(ii),
3/2 = h/15
⇒ h = 45/2
⇒ h = 22.5 m.
Hence, Height of the Flag pole is 22.5 m.
Hope it helps.
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