Question

if a girl is 150 cm tall, her distance to the foot of the tree is 15m, and the length of her shadow is 3 m, how tall is the tree?

Answer 1

Answer:

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Step-by-step explanation:

Let AB be boy = 1.5m

CD be lamp = Let it be x m.

OB be shadow cast by boy = 4.5m

BD be distance between boy and lamp = 3m

Therefore

In ΔAOB,

= tan θ = AB/OB

In ΔCOD,

= tan θ = CD/OD = CD/(OB+BD)

∴ AB/OB = CD/(OB+BD)

=1.5/4.5 = CD/(4.5+3)

= CD = 7.5/3 = 2.5m

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Answer 2

Answer:

2.5m

Step-by-step explanation: