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Suppose that a laser light, positioned 100 ft from the base of a flag pole, illuminates a flag that is 85 ft above the ground.

What is the angle of inclination (angle of elevation) of the light beam?

Express your answer in degrees rounded to the nearest hundredth.

Enter your answer in the box.

Respuesta :

calculista

Answer:

The angle of elevation is [tex]40.36\°[/tex]

Step-by-step explanation:

Let

[tex]\theta[/tex] ----> the angle of elevation

we know that

The tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle

we have that

[tex]tan(\theta)=\frac{85}{100}[/tex]

[tex]\theta=arctan(\frac{85}{100})=40.36\°[/tex]