You want to build a ramp so that a wheelchair can access a building. The door to the building is 9 feet above the ground, and the angle of the ramp is 3o. How long should the ramp be? Round your answer to two decimal places.
We can use the sine function for this one.....
sine (30) = 9 / ramp length
ramp length = 9 / sine (30)
ramp length = 9 /(1/2)
ramp length = 18 ft.
We could have also used the 30 - 60 - 90 triangle, where the sides opposite these angles have the ratios...... 1 - √3 - 2
So the side opposite the 90 degree angle represents the ramp length and it is twice as long as the side opposite the 30 degree angle (9 ft) = 18 ft
We can use the sine function for this one.....
sine (30) = 9 / ramp length
ramp length = 9 / sine (30)
ramp length = 9 /(1/2)
ramp length = 18 ft.
We could have also used the 30 - 60 - 90 triangle, where the sides opposite these angles have the ratios...... 1 - √3 - 2
So the side opposite the 90 degree angle represents the ramp length and it is twice as long as the side opposite the 30 degree angle (9 ft) = 18 ft