Trigonometry Review

(LEVEL 2) When calculating the tangent ratio of a given angle, what sides of the right triangle are used? (select all that apply)

• Adjacent Leg

• Hypotenuse

• Opposite Leg

• Congruent Legs

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CCSS.HSG.SRT.C.6

(LEVEL 2) The (a)   ratio is defined as the ratio comparing the adjacent leg to its hypotenuse.

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CCSS.HSG.SRT.C.6

(LEVEL 2) If $\Delta$ DEF is equilateral and its perimeter is 30 cm, what is the value of x?

• x = 10

• x = 10 $\sqrt{2}$  

• x = 10 $\sqrt{3}$  

• x = 5 $\sqrt{3}$  

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CCSS.HSG.CO.C.10

(LEVEL 2) Which setup(s) would calculate the measure of angle Y? Select all that apply.

•  $\tan^{-1}\left(\frac{32}{60}\right)$  

•  $\sin^{-1}\left(\frac{60}{68}\right)$  

•  $\cos^{-1}\left(\frac{68}{60}\right)$  

•  $\sin^{-1}\left(\frac{32}{68}\right)$  

•  $\cos^{-1}\left(\frac{60}{68}\right)$  

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CCSS.HSG.SRT.C.6

(LEVEL 2) Which statement is false based on the picture?

• sin Y =  $\frac{20}{52}$ 

• cos X = $\frac{52}{20}$

• tan X = $\frac{48}{20}$

• tan Y = $\frac{20}{48}$

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CCSS.HSG.SRT.C.6

(LEVEL 3) Suppose $\Delta DEF$ is equilateral. If x = 12, what is the perimeter of the triangle? 

• P = 36

• P = 72

• P =  $36\sqrt{2}$  

• P = $24\sqrt{3}$  

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CCSS.HSG.CO.C.10

(LEVEL 3) PQRS is a rhombus such that diagonals QS and PR are length 30 and 16, respectively. What is the measurement of  $\angle SRQ$ ? Round to one decimal place.

(a)  

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CCSS.HSG.CO.C.11

(LEVEL 3) A bird sitting on top of a telephone pole sees a worm at the base of a tree. If the bird looks down at a 63° angle and the telephone pole is 18 meters tall, how far away is the bird from the worm? Round to the nearest meter.

(a)  

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CCSS.HSG.SRT.C.8

(LEVEL 3) Identify the exact value of x.

• x = 11

• x =  $22\sqrt{2}$  

• x =  $11\sqrt{2}$  

• x =  $\frac{11}{\sqrt{2}}$  

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CCSS.HSG.SRT.C.8

(LEVEL 3) If ABCD is a rectangle, then the perimeter of ABCD (rounded to the nearest tenths) is (a)   .

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CCSS.HSG.CO.C.11