Question

Find the length of the shadow on the ground of a pole of height 18m when angle of elevation θ of the sun is such that tan θ = `6/7`.

Answer 1

Let the length of the shadow be ‘x’ m

Given, tan θ = `6/7`

= `"Perpendicular"/"Base"`

`\implies (AB)/(BC) = 6/7`

`\implies 18/x = 6/7`

`\implies` x = `(7 xx 18)/6`

= 7 × 3

= 21 m