The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6 degrees with the ground. How much longer must the ramp be in order to make the angle 3 degrees? Round the answer to the nearest tenth.

The ramp should be 32.9 feet longer.

Step-by-step explanation:

When the ramp is at to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;

Sin θ =

Sin =

l =

 =

 = 33.0048

l = 33.0 feet

When the angle is reduced to , the length of the ramp would be;

Sin θ =

Sin =

l =

 =

= 65.9152

l = 65.9 feet

Change in length of ramp = 65.9 - 33.0

                            = 32.9

The ramp should be 32.9 feet longer.

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2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29