Question

A 1.8m tall girl stands at a distance of 4.6m from the lamp post and casts 5.4m long shadow on the ground. Then find the height of the lamp post in __ m

a) 1.56
b) 10/3
c) 13.8
d) 0.8

give me explanation of this and the answer will come option (b) ​

Answer 1

Answer:

b) 10/3

Step-by-step explanation:

Using trigonometric ratios,

Let AB be the height of lamp post.

Now, in right △CDE,

⇒ tanθ= ED/DC

= 1.8 / 5.4

= 1/3 ⟶(1)

In , △ACB,

⇒ tanθ= AB/BC

= AB/ 4.6+5.4

=AB/10 ⟶(2)

From (1)&(2) we get,

⇒ 1/3 = AB/10

⇒AB= 10/3

∴ Height of the lamp post =10/3 m

hope this helps :)

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