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2. A bird flew from a point on the ground directly to the edge of the roof of a building. The height of the building is 40 feet, and the angle of elevation the bird's flight path made with the ground is 26°. Which expression models the total distance, in feet, the bird flew? А 40 cos 26 B 40 sin 26 с cos 26 40 D sin 26 40 I

Respuesta :

We can draw the flight as:

We can use the trigonometric ratio that relates the sine of an angle with the opposite side and the hypotenuse:

[tex]\begin{gathered} \sin (26\degree)=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{h}{D} \\ D=\frac{h}{\sin (26\degree)} \\ D=\frac{40}{\sin (26\degree)} \end{gathered}[/tex]

Answer: the distance can be expressed as 40 / sin(26 deg)

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