Depth angle

From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?

Result

x =  947.063 m

Solution:

a=150 m A=909=81   tanA=x/a x=a tan(A rad)=a tan(A π180 )=150 tan(81 3.1415926180 )=947.06273=947.063 ma=150 \ \text{m} \ \\ A=90-9=81 \ ^\circ \ \\ \ \\ \tan A=x/a \ \\ x=a \cdot \ \tan( A ^\circ \rightarrow\ \text{rad})=a \cdot \ \tan( A ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ )=150 \cdot \ \tan( 81 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ )=947.06273=947.063 \ \text{m}



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