Trigonometry Answers

The radian measure of an angle that is 125°25'50'' is_____.

A: 2.19 radians
B: 2.25 radians
C: 3.49 radians
D: 7190.29 radians

An angle measuring 5.25 radians is equal to which of the angle measures given below? Use 3.14159 as the value of pi. Check all that apply.

300° 48'11''

300.80°

16.49°

16° 24'

The arc corresponding to a central angle of 125° in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places. Use 3.14 for pi.

The angle of elevation to the top of a 30-story skyscraper is measured to be 4° from a point on the ground 2,500 feet from the building. What is the height of the skyscraper to the nearest hundredth foot?

A: 174.82 feet
B: 174.39 feet
C: 83.13 feet
D: 96.49 feet

A 50-foot tree casts a shadow 9 feet long. The sine of the angle of elevation of the top of the tree to the sun is approximately______.

A: 0.01
B: 0.18
C: 0.02
D: 0.98

Which of the following triangles are right triangles? Check all that apply.

A triangle with side lengths 6 inches, 8 inches, 10 inches,

A triangle with side lengths 5, 12, 13

A triangle with side lengths 9, 12, 15

A triangle with side lengths 8, 15, 17

The legs of a right triangle measure 5 inches and 7 units. If θ is the angle between the 5-inch leg and the hypotenuse, cos θ = _____

A: 0.71
B: 0.07
C: 0.58
D: 0.81

If cos θ = -2/3, which of the following are possible?

Choose all correct answers.

Sinθ = -√5/3 and tanθ = √5/2

sinθ = √5/3 and tanθ = √5/2

cscθ = 3/√5 and tanθ = -√5/2

cscθ = -3/2 and tanθ = √5/2

Sarah used her calculator to find sin125° She wrote down sin125° = -.57 How could Sarah recognize that her answer is incorrect?

Sam used his calculator to find cos 1.75 He wrote down cos 1.75 = .999 How could Sam recognize that his answer is incorrect?

Give an example of a real number t for which cos t is positive and sin t is negative.

Find the exact value of each of the following. In each case, show your work and explain the steps you take to find this value.

17π
Sin-------
6

13π
tan------
4

11π
sec-------
3

Explain the relationships among angle measure in degrees , angle measure in radians, and arc length.

: In degree measure, the angles pie/3, pie/4 and pie/2 are respectively:

A: 60° , 30° , 90°
B: 60° , 45° , 90° ,
C: 45° , 60° , 90° ,
D: 30° , 45° , 90° ,

: Mark the statements that are true

An angle that measures 2pie/3 is a reflex angle

An acute angle is one that measures less than pie/2 but more than pie/4

An angle that measures 95° is an acute angle.

An angle that measures 170° is an obtuse angle