Question

a boy of height 150 cm is 8 metre away from a lamppost if the shadow cast is 2 metre find the height of the lamp post​

Answer 1

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