Speed of a Supersonic Jet

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Some Applications of Trigonometry

Speed of a Supersonic Jet

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 5

The problem

The angle of elevation of a jet plane from a point AA on the ground is 60∘.60^\circ. After a flight of 10 seconds,10\text{ seconds}, flying horizontally directly away from A,A, the angle of elevation changes to 30∘.30^\circ. If the jet is flying at a constant height of 15003 m,1500\sqrt{3}\text{ m}, find the speed of the jet in km per hour.\text{km per hour}.

Step 1 · Your move

In right △AMP\triangle AMP where height PM=15003 mPM = 1500\sqrt{3}\text{ m} and elevation is 60∘60^\circ, what is the ground distance AMAM?

60° at A30° at A1500√3 m10 sAMNPQ
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