Law of Sines (Sec 8-3) — Unit test Answers
Which of the following represents the measures of all angles coterminal with a –220° angle?
What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer.
Use the law of sines to find the value of a.Law of sines:
An angle that shares the same sine value of an angle that measures radians is located where?
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?
A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .
What is the area of triangle ABC? Round to the nearest square unit.
Heron’s formula: Area =
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch.Heron’s formula: Area
Law of sines:
Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.Law of sines:
If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec ?
Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?
An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?
Which measure is of an angle that is coterminal with a 95° angle?
How long is the arc intersected by a central angle of radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for .
Henry is asked to find the exact value of . His steps are shown below.1. Subtract from as many times as possible: – = 2. Find the reference angle for : – = .3. The cosine value for is .4. The cosine value is positive because is in the first quadrant.Which of the following describes Henry’s errors?
A student uses the equation to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline , where . To solve the problem, the student used the given value of to find the value of and then substituted the value of in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?
A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand.Law of cosines:
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?
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