Applying Trigonometric Identities and Equations - Test Test

Name: Revolt
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Question 1

Which expression is equivalent to tangent of open paren x minus pi close paren ?

Revolt · Accepted Answer

D: the fraction with numerator tangent of x minus tangent of pi and denominator 1 plus tangent of x times tangent of pi

Question 2

What is the area of triangle DFG ? Round to the nearest whole square unit.

Revolt · Accepted Answer

C: 27  square units

Question 3

What is the exact value of tangent of open paren pi over 12 close paren ?

Revolt · Accepted Answer

C: the fraction with numerator 1 and denominator 2 minus square root of 3

Question 4

What is the area of triangle PQR ? Round to the nearest tenth of a square unit.

Revolt · Accepted Answer

B: 111 point 3  square units

Question 5

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h , the height in feet of the end of one blade, as a function of time, t , in seconds? Assume that the blade is pointing to the right, parallel to the ground at t is equal to 0 seconds, and that the windmill turns counterclockwise at a constant rate.

Revolt · Accepted Answer

D: h is equal to 10 sine open paren pi over 15 t close paren plus 35

Question 6

Which action can be taken to the expression in Step 3 to give an expression for Step 4?

Revolt · Accepted Answer

C: divide both the numerator and denominator by  cosine x; D: divide both the numerator and denominator by  cosine x

Question 7

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute . Write a sine model, y is equal to A sine b t plus k , for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t is equal to 0 and that the windmill turns counterclockwise at a constant rate.

Revolt · Accepted Answer

C: y is equal to 30 sine open paren pi over 15 t close paren plus 30; D: y is equal to 10 sine open paren pi over 15 t close paren plus 10

Question 8

A child designs a flag in the shape of a rhombus, as shown in the diagram. Which expression can be used to determine the side length of the rhombus?

Revolt · Accepted Answer

B: the fraction with numerator 10 and denominator cosine 30 degrees

Question 9

What are the possible remaining angle measures in triangle ABC with m angle cap A is equal to 40 degrees , AC is equal to 60 , and BC is equal to 45 ?

Revolt · Accepted Answer

B: m angle cap b almost equal to 121 degrees ,  m angle cap c almost equal to 19 degrees  and  m angle cap b almost equal to 59 degrees ,  m angle cap c almost equal to 81 degrees

Question 10

What is the distance from the first observation point to the top of the tower x ? Round the answer to the nearest tenth.

Revolt · Accepted Answer

A: 183 point 7  ft

Applying Trigonometric Identities and Equations - Test Test Answers

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