Question

Your school is organizing a carvinal. You are building a ramp for a game. The surface of the ramp will be 5 feet long with a total rise of 3 ft. Find the angle of elevation of the ramp.53.136.931.059.0

Answer 1

Consider the corresponding diagram,

The figure forms a right triangle with height 3 ft. and hypotenuse 5 ft.

The trigonometric function 'sine' relates the height, hypotenuse, and the angle. So it is better to use sine function here,

`\sin \theta=(3)/(5)\Rightarrow\theta=\sin ^(-1)((3)/(5))\approx36.9`

Thus, the angle of elevation is 36.9 degrees approximately.

Therefore, option (b) is the correct choice.