A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the wheel has completed one revolution?
A. 8.13 ft
B. 4.07 ft
C. 13.1 ft (My answer)
D. 9.07 ft
In the triangle with g = 90°, β = 57.4°, and a = 70.0, which of the following measures is not correct? (Hint: Solve the triangle.)
A. c = 130
B. b = 109
C. c = 134
D. a = 32.6°
I have no idea what this could be I am very confused please explain
A. 8.13 ft
B. 4.07 ft
C. 13.1 ft (My answer)
D. 9.07 ft
In the triangle with g = 90°, β = 57.4°, and a = 70.0, which of the following measures is not correct? (Hint: Solve the triangle.)
A. c = 130
B. b = 109
C. c = 134
D. a = 32.6°
I have no idea what this could be I am very confused please explain
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The circumference of the wheel is 5 pi. The incline is the hypotenuse of a right triangle.
sin 15 = x / 5 pi
x = 5 pi sin 15 = 4.07 ft
However, this is the base of the wheel. The top will be 5 feet higher, or 9.07 ft. (D) I think you used 10 pi as the circumference to get your answer; however, the circumference is 2 pi * radius or pi * diameter, so 5 pi is the correct circumference.
Your variables don't match up. I'm going to assume it should be angle C = 90, angle B = 57.4, and side a = 70. Then, angle A = 90 - 57.4 = 32.6.
sin 32.6 = a / c = 70 / c
c = 70 / sin 32.6 = 130
Note that both A and C cannot be correct as they give two different measures for the same side, so one of these must be the answer, and now we know it is C. Just to confirm, though, let's find B as well:
tan 32.6 = a / b = 70 / b
b = 70 / tan 32.6 = 109
sin 15 = x / 5 pi
x = 5 pi sin 15 = 4.07 ft
However, this is the base of the wheel. The top will be 5 feet higher, or 9.07 ft. (D) I think you used 10 pi as the circumference to get your answer; however, the circumference is 2 pi * radius or pi * diameter, so 5 pi is the correct circumference.
Your variables don't match up. I'm going to assume it should be angle C = 90, angle B = 57.4, and side a = 70. Then, angle A = 90 - 57.4 = 32.6.
sin 32.6 = a / c = 70 / c
c = 70 / sin 32.6 = 130
Note that both A and C cannot be correct as they give two different measures for the same side, so one of these must be the answer, and now we know it is C. Just to confirm, though, let's find B as well:
tan 32.6 = a / b = 70 / b
b = 70 / tan 32.6 = 109