A student sees a bird on top of a 12m high light pole. The student is standing 20m from the base of the pole. At what angle must the student incline her camera to take a picture of the bird?

Respuesta :

Answer: 31 degrees

Step-by-step explanation:

The student must incline her camera at 31 degrees to take the picture of bird.

Angle of inclination:

The angle of inclination of a line is the angle formed by the intersection of the line and x-axis.

According to the given question

height of pole = 12m

distance of student from the pole = 20m

Let the angle of inclination be x degrees.

therefore

for the angle of inclination

In ΔABC we have

[tex]tanx=\frac{12}{20}[/tex]

[tex]tanx=\frac{3}{5}[/tex]

[tex]x=tan^{-1} \frac{3}{5}[/tex]

[tex]x = tan^{-1}( 0.6)[/tex]

x = 31 degrees

Hence, the student must incline her camera at 31 degrees to take the picture of bird.

Learn more about angle of inclination here:

https://brainly.com/question/14983337

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