In ABC, C is a right angle and BC = 7. If gamma n B = 30 degree, find AC. 7/2 7
ID: 3025635 • Letter: I
Question
In ABC, C is a right angle and BC = 7. If gamma n B = 30 degree, find AC. 7/2 7 Squareroot 3/3 7 Squareroot 3/2 Squareroot 3/7 Which of the following angles has a reference angle of pi/9? - 56 pi/9 16 pi/9 29 pi/9 - 37 pi/9 Your town's public library is building a new wheelchair ramp to its entrance. By law, the maximum angle of incline for the ramp is 4.76 degree. The ramp will have a vertical rise of 2 ft What is the shortest horizontal distance that the ramp can span? 15.3 ft. 3.5 ft. 24.0 ft 9.5 ft.Explanation / Answer
1)m<C= 90o,BC=a=7 ,m<B=30o,AC=b
m<A+m<B+m<C=180o
m<A+30o+90o=180o
m<A=60o
by law of sines, a/sinA=b/sinB=c/sinC
7/sin60o=b/sin30o=c/sin90o
b=(7/sin60o)sin30o
b=(7/3)
b=(73)/3
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2)-56/9=6+(-56/9)=-2/9
16/9=-2+(16/9)=-2/9
29/9=3+(2/9)
-37/9=-4-(/9)=-/9
-37/9 has a reference angle of /9
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3)tan4.76o= vertical rise/shortest horizontal distance
tan4.76o= 2/shortest horizontal distance
shortest horizontal distance=2/tan4.76o
shortest horizontal distance=24 ft