Homework answers / question archive / Homework practice questions 16) Given a right triangle with an acute angle Θ , if sinΘ = cos Θ , describe what this triangle would look like

Homework practice questions 16) Given a right triangle with an acute angle Θ , if sinΘ = cos Θ , describe what this triangle would look like

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Homework practice questions

16) Given a right triangle with an acute angle Θ , if sinΘ = cos Θ , describe what this triangle would look like.

A) a scalene triangle

B) an equilateral triangle.

C) an isosceles triangle.

D) None of the above

4) Angle <C lies in quadrant 3. Without using a calculator, determine which ratio is valid.

 

A) sin C = 0.7892

B) cos C = 0.7071

C) tan C = 0.5733

D) None are correct

10) In ABC, a = 5.4 m, b = 7.2 m, and c = 10.0 m. Determine <C to the nearest degree.

 

A) 92 degrees

B) 97 degrees

C) 104 degrees

D) 108 degrees

13) If 3 sides are known for a triangle, what piece of information can be found and what method is used?

1 point

A) side, sine law

B) side, cosine law

C) angle, sin law

D) angle, cosine law

8) P(-6,7) lies on the terminal arm of an angle in standard position. What is the value of sin ? to the nearest ten thousandths?

 

A) 0.7609

B) 0.6522

C) -1.1667

D) 1.1667

22) Determine the value of Θ to the nearest degree if tanΘ =  1.

 

A) 30 degrees

B) 45 degrees

C) 60 degrees

D) 90 degrees

20) A kite is flying 9.2 m above the ground at an angle of elevation of 38.2 degrees. Calculate the length of string, to the nearest tenth of a metre, needed to fly the kite.

 

A) 15 m

B) 18 m

C) 20 m

D) 23 m

1. A ladder is leaning against a 3 m tall building at an angle of elevation of 46 degrees. Determine the length of the ladder to the nearest tenth of a metre.

 

A) 3.0 m

B) 4.3 m

C) 3.1 m

D) 4.2 m

11) Two-dimensional problems involving triangles can be solved using some combination of all of the following approaches except

 

A) The Sine Law

B) The Distance Formula

C) The Trigonometric Ratios

D) The Pythagorean Theorem

23) A boat is approaching a cliff known to be 50 m tall. If the angle of elevation from the boat is 60 degrees, how far away is the boat from the cliff?

 

A) 20 m

B) 25 m

C) 29 m

D) 32 m

18) A ramp created to get up to a truck bed is 3 m long. The ramp starts 2.82 m from the truck. Calculate the height of the truck bed to the nearest tenth of a metre.

 

A) 0.5 m

B) 1.0 m

C) 1.5 m

D) 2.0 m

15) Angle in Standard Position is the angle formed by the terminal arm and the initial arm points to the x positive direction.

 

A) True

B) False

 

 

19) A ramp created to get up to a truck bed is 3 m long. The ramp starts 2.82 m from the truck. What is the angle of the incline?

 

A) 15 degrees

B) 18 degrees

C) 20 degrees

D) 25 degrees

 

 

6) Given cos 170 degrees, determine which of the following is an equivalent expression.                                       (Hint:  cos Θ = x / r in angle in Standard Position)

 

A) cos 190 degrees

B) cos 10 degrees

C) cos 350 degrees

D) cos 280 degrees

17) The posts of a hockey goal are 2.0 m apart. A player attempts to score by shooting the puck along the ice from a point 12.0 m from one post and 10.1 m from the other. Within what angle Θ must the shot be made? Round your answer to the nearest degree.

 

A) 1 degree

B) 3 degrees

C) 5 degrees

D) 7 degrees

12) Determine the Reference Angle or the Related Acute Angle of the angle 150 degrees.

 

A) 30 degrees

B) 45 degrees

C) 60 degrees

D) 90 degrees

7) P(3, 4) lies on the terminal arm of an angle in standard position. What is the value of the principal angle ? to the nearest degree ?

 

A) 26 degrees

B) 46 degrees

C) 36 degrees

D) 53 degrees

Consider the point (-6, 8) on the circle x^2 + y^2 = 100. Determine the cosine ratios for the principal angle.

 

A) -0.5000

B) 0.6000

C) 0.7000

D) - 0.6000

14) Related Acute Angle is the angle formed by the terminal arm and the initial arm points to the x positive direction.

 

A) True

B) False

 

 

2) For the angle  <A = 150 degrees    moving counter-clockwise in standard position, determine which primary trigonometric ratio is positive.

 

A) sinA

B) cosA

C) tanA

D) None are positive

5) Use the trigonometric ratio cos A = -0.5000 to determine which of the following is the correct value of<A to the nearest degree if  0 degree < A < 180 degrees.

 

A) 60 degrees

B) 120 degrees

C) 150 degrees

D) 180 degrees

3) For the angle <B = 80 degrees moving counter-clockwise in standard position, determine which primary trigonometric ratio is positive.

 

A) sinB

B) cosB

C) A and B are correct

D) Only tan B is corect

 

 

9) Determine <A to the nearest degree for the triangle with the given information .a = 3.3 m, b = 6.2m, < B = 81 degrees.

 

A) <A = 32 degrees

B) <A = 43 degrees

C) <A = 46 degrees

D) <A = 55 degrees