Brian wants to build a ramp that leads to a storeroom 5 meters above the ground he wants a ramp to be 10 meters long what should the angle of elevation of the ramp be

Respuesta :

the angle of elevation is 26.565 (3dp)
let h be the end height of the ramp above
the ground , l be the length of the ramp and
the angle of elevation is (30)
i'm not sure, sorry

Answer:

Hence, the angle of elevation of the ramp is:

                              30°

Step-by-step explanation:

Let θ be the angle of elevation that the ramp makes to the storeroom.

We model this problem with the help of a right angled triangle ΔABC the length of whose perpendicular side is 5 meters and the hypotenuse is 10 meters.

Hence, using the trignometric identity we have:

[tex]\sin \theta=\dfrac{AB}{AC}\\\\\\\sin \theta=\dfrac{5}{10}\\\\\\\sin \theta=\dfrac{1}{2}\\\\\\\theta=sin^{-1}(\dfrac{1}{2})\\\\\\\theta=\dfrac{\pi}{6}[/tex]

      Hence, the angle of elevation is:

                  30°

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