# A boy

A boy of height 1.7m is standing 30m away from flag staff on the same level ground . He observes that the angle of deviation of the top of flag staff is 30 degree. Calculate the height of flag staff.

Result

h =  19.021 m

#### Solution:

$a = 30 \ m \ \\ b = 1.7 \ m \ \\ A = 30 \ ^\circ \ \\ \ \\ \tan A = x/a \ \\ \ \\ h = b + a \cdot \ \tan( A ^\circ \rightarrow rad ) = b + a \cdot \ \tan( A ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ ) = 1.7 + 30 \cdot \ \tan( 30 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ ) = 19.02051 = 19.021 \ \text{ m }$

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