What is a possible value of sin(theta) when cos2(theta)=0.21
1 answer:
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Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:
next, you replace the values of v and r in the equation (1):
Then, the car's tires are turning with an angular speed of 3676.44 rad/min
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
