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?

Correct result:

x =  947.063 m

Solution:

a=150 m A=909=81   tanA=x/a x=a tanA=a tan81 =150 tan81 =150 6.313752=947.063 ma=150 \ \text{m} \ \\ A=90-9=81 \ ^\circ \ \\ \ \\ \tan A=x/a \ \\ x=a \cdot \ \tan A ^\circ =a \cdot \ \tan 81^\circ \ =150 \cdot \ \tan 81^\circ \ =150 \cdot \ 6.313752=947.063 \ \text{m}



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