A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17°. To the nearest tenth of a foot, how far is the airport from the plane?

Respuesta :

Answer: The airport is 41043.6 feet far away from the plane.

Step-by-step explanation:

Since we have given that

A plane is flying at an altitude of 12,000 feet

As shown in the figure :

AB = 12000 feet

and the angle of elevation from the airport to the plane = 17 °

Consider, ΔABC ,

[tex]\sin 17^\circ=\frac{AB}{AC}\\\\\sin 17^\circ=\frac{12000}{AC}\\\\AC=\frac{12000}{\sin 17^\circ}\\\\BC=41043.64\ feet[/tex]

Hence, the airport is 41043.6 feet far away from the plane.

Ver imagen RenatoMattice

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