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Right Triangle Relationships And Trigonometry Review Quiz
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Multiple Choice Questions
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Use the diagram to complete the statement.Given △JKL, sin(38°) equals
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cos(52°).
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cos(x) = 10/15
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tan(F).
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21.3 in.
What is the length of AB? Round to the nearest tenth.
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10.5 m
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17.2°
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38.6 m
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4.6 cm
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.Which is the approximate measure of angle YZX?
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39.4°
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161.7 cm2
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40.2°
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24.2 cm
In which triangle is the value of x equal to tan−1(3.1/5.2)?
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3/5
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12/5
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D
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5/13
Given right triangle ABC, what is the value of tan(A)?
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3/5
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5/13
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12/5
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40/9
Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown. If the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox?
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161.7 cm2
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tan(22.6°) = a/12
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a quadrilateral, because angle C and angle X are acute
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19 inches
Which is the best approximation for the measure of angle EGF?
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17.2°
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4.6 cm
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10.5 m
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40.2°
What is the length of AC? Round to the nearest tenth.
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10.5 m
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4.6 cm
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38.6 m
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17.2°
Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.What is the smallest possible whole-number length of the unknown side?
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19 inches
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161.7 cm2
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21.3 in.
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24.2 cm
The equation tan−1(8.9/7.7) = x can be used to find the measure of angle LKJ. What is the measure of angle LKJ? Round to the nearest whole degree.
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40/9
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49
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19 inches
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21.3 in.
An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?
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4.6 cm
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39.4°
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24.2 cm
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161.7 cm2
Given right triangle DEF, what is the value of tan(F)?
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12/5
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40/9
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3/5
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5/13
Given △DEF, which is not equal to cos(F)?
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5/13
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12/5
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40/9
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tan(F).
What is the approximate value of y − x?
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17.2°
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38.6 m
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10.5 m
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40.2°
Which equation can be used to find the length of AC?
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21.3 in.
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cos(x) = 10/15
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(10)sin(40o) = AC
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acute, because 102+122>152
Which trigonometric ratios are correct for triangle ABC? Check all that apply.
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sin(C) = √3/2tan(C) = √3sin(B) = 1/2
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acute, because 102+122>152
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The side opposite ∠Q is RSThe hypotenuse is QR.The side adjacent to ∠Q is QS.
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cos(x) = 10/15
Which statements are true about triangle QRS? Check all that apply.
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(10)sin(40o) = AC
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cos(x) = 10/15
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The side opposite ∠Q is RSThe hypotenuse is QR.The side adjacent to ∠Q is QS.
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sin(C) = √3/2tan(C) = √3sin(B) = 1/2
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Multiple Choice Questions
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