Question

a boy of height 150 cm is 8m away from lamp post. if the shadow castes is 2m find the height of lamp post (using Thales theorem)

Answer 1

Let BC=X.
AD=150 CM .150/100=1.5m.
BD=8m
DE=2m.
BC/AD=BD/DE. (thales theorem)
X/1.5 =8/2
2x=8×1.5 2x=12.
X=12/2.
X= 6.
Height of the lamp post is 6m

Answer 2

Answer:

7.5 m tall

Step-by-step explanation:

150 cm = 1.5 m

Define x:

Let x be the height of the lamp post

Find the angle θ:

tan θ = opp/adj

tan θ = 1.5/2

Find the height of the lamp post:

tan θ = opp/adj

1.5/2 = x/(2 + 8)

1.5/2 = x/10

x = 10 (1.5/2)

x = 7.5 m

Answer: The lamp post is 7.5 m tall