a person of normal eye sight can read a print at such a distance that the letters subtend an angle - Maths - Trigonometric Functions

Question

a person of normal eye sight can read a print at such a distance
that the letters subtend an angle of 5' at the eye find the height
of the letters if he can read at a distance of 420 meters
urgent solution required

Utsav · Accepted Answer

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Let the height of the letters be h m

Now in ∆APQ we havetan ∠PAQ =PQAQ⇒tan 5° =h420
⇒h = tan 5°×420 = 0 087×420 m =36 54 m

a person of normal eye sight can read a print at such a distance that the letters subtend an angle of 5' at the eye. find the height of the letters if he can read at a distance of 420 meters. urgent solution required

a person of normal eye sight can read a print at such a distance that the letters subtend an angle of 5' at the eye. find the height of the letters if he can read at a distance of 420 meters.

urgent solution required