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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.

 May 21, 2014

Best Answer 

 #1
avatar+130466 
+5

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

 May 21, 2014
 #1
avatar+130466 
+5
Best Answer

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

CPhill May 21, 2014

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