First slide

Trignometry

Question

A 150 cm high girl, when stands 15 m away from a street lamp, light coming from the street lamp cast 3m long shadow of the girl on the horizontal ground. Height of the street lamp above the ground is

Moderate

A

4.5 m
B

6 m
C

7.5 m
D

9 m

Solution

$From triangle ADE, tanθ = \frac{1.5}{3} From triangle ABC, tanθ = \frac{H}{3 + 15} = \frac{H}{18} Therefore, \frac{1.5}{3} = \frac{H}{18} \Rightarrow H = 9 m$

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