Question

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

Answer 1

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 2

Hence, the angle of elevation of the ramp is:

30°

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:

`\sin \theta=(AB)/(AC)\\\\\\\sin \theta=(5)/(10)\\\\\\\sin \theta=(1)/(2)\\\\\\\theta=sin^(-1)((1)/(2))\\\\\\\theta=(\pi)/(6)`

Hence, the angle of elevation is:

30°