Question

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

Answer 1

Explanation:

Answer 2

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:

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

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