Conduit fabrication lvl 1 lesson 2

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: sin θ = 0.8660hypotenuse = 0.25Find: opposite =

0.8660X0.25=0.2165

Maximum value of the cos θ occurs at ? , and its minimum value occurs at ? .

0° / 90°

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.) Given: adjacent = 10opposite = 10Find: tan θ =

10/10=1

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.) Given: adjacent = 10opposite = 100Find: tan θ =

100/10=10

Given the following information, solve for the missing value.Given: adjacent = 10opposite = 1,000Find: tan θ =

1000/10=100

Given the following information, solve for the missing value. (Round the FINAL answer to the nearest degree.) Given: sin θ = 0.7071hypotenuse = 100Find θ.

sin^-1(0.7071)=44.9

Given the following information, solve for the missing value. (Round to the nearest degree.)Given: sin θ = 0.8660hypotenuse = 0.25Find: θ =

sin^-1(0.8860)=59.9

The Pythagorean Theorem states that the ? of the hypotenuse of any right triangle is equal to the ? of the squares of the other two sides.

square / sum

If a building casts a shadow 150 feet from its base, and a yardstick casts a shadow of 2 feet, how tall is the building? Use trigonometric functions to solve the problem. Select one: a. 100' b. 150' c. 225' d. 300'

tan θ = 3/2 = 1.5 Height = tan θ × adjacent = 1.5 × 150' = 225' The correct answer is: 225'

Tan θ is sometimes referred to as the slope of a decline or rise. What would be the angle of the rise of a bridge that rose 500 feet per one-half mile? Select one: a. 0.1894° b. 10.7° c. 5.28° d. 79.3°

tan θ = 500/2,640= 0.1894 10.72° The correct answer is: 10.7°

Using the tan function, complete the following equations and match with the correct answer shown below: I. opp/adj II. opp/hyp III. opp/tan θ IV. tan θ × adj tan θ =Answer 1Choose...III.II.IV.I. opp =Answer 2Choose...III.II.IV.I. adj =Answer 3Choose...III.II.IV.I.

tan θ = → I., opp = → IV., adj = → III.

The term ? is used to identify the reference point or angle.

theta

Since the ratios for sides of triangles are the same, when the angles are the same, ? have been developed which show these ratios for every angle encountered in a triangle.

trigonometric tables

The maximum value for the tan function is equal to ? and occurs at ? .

undefined / 90°

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: adjacent = 10opposite = 1,000Find: hypotenuse =

√(1000^2+10^2)

Given the following information, solve for the missing value. (Round the FINAL answer to one decimal place.)Given: adjacent = 10opposite = 100Find: hypotenuse =

√(100^2+10^2)=100.5

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.) Given: adjacent = 10opposite = 10Find: hypotenuse =

√(10^2+10^2)=14.1421

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: hypotenuse = 10adjacent = 7Find: opposite =

√(10^2-7^2)=7.14

Given the following information, solve for the missing value. Given: hypotenuse = 150adjacent = 90 Find: opposite =

√(150^2-90^2)=120

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.)Given: hypotenuse = 250adjacent = 225Find: opposite =

√(250^2-225^2)=108.97

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: hypotenuse = 25adjacent = 5Find: opposite =

√(25^2-5^2)=24.49

Given the following information, solve for the missing value. Given: adjacent = 4opposite = 3Find: hypotenuse =

√(4^2+3^2)=5

Given the following information, solve for the missing value. Given: hypotenuse = 5adjacent = 3Find: opposite =

√(5^2-3^2)=4

Given the following information, solve for the missing value. Given: adjacent = 6opposite = 8Find: hypotenuse =

√(8^2+6^2)=10

The maximum value of the cos θ is equal to ? , and the minimum value is ? .

. 1 / 0

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: sin θ = 0.7071hypotenuse = 100Find: opposite =

0.7071x100=70.71

Given the following information, solve for the missing value. (Round the FINAL answer to one decimal place.)Given: θ = 51°opposite = 15Find: hypotenuse =

15/sin(51)=19.3

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.) Given: sin θ = 0.5446opposite = 160Find: hypotenuse =

160/0.5446=293.79

The sum of all the angles in any triangle always equals ? .

180°

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: hypotenuse = 250adjacent = 225Find: cos θ =

225/250

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: adjacent = 4opposite = 3 Find: tan θ =

3/4=0.75

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: hypotenuse = 5adjacent = 3Find: cos θ =

3/5=0.6

Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.)Given: θ = 20°opposite = 45Find: hypotenuse =

45/sin(20)=131.58

Given the following information, solve for the missing value. (Round the FINAL answer to one decimal place.) Given: hypotenuse = 25adjacent = 5Find: cos θ =

5/25=0.2

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.) Given: hypotenuse = 10adjacent = 7Find: cos θ =

7/10=0.7

Given the following information, solve for the missing value. (Round the FINAL answer to three decimal places.)Given: adjacent = 6opposite = 8Find: tan θ =

8/6=1.333

The maximum value of sin θ is ? . The minimum value of sine θ is ? .

90 / 0

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.) Given: hypotenuse = 150adjacent = 90Find: cos θ =

90/150

One angle of a right triangle is always a ? angle.

90°

Sin θ will have its maximum value at ? and its minimum value at ? .

90° / 0°

θ in a right triangle equals 36°. What are the values of the other two angles?

90° / 54°

Match the correct sides and angle for this right triangle.

Adjacent → c., Hypotenuse → a., Opposite → b., θ → d.

Understanding trigonometry will improve one's understanding of designing and fabricating conduit systems.

True

What is the trigonometric formula for the cos function?

adj / hyp

The side next to the reference angle is called the ? side.

adjacent

The cos θ is equal to the ? side divided by the ? .

adjacent / hypotenuse

Write the Pythagorean Theorem as a mathematical formula.

c2 = a2 + b2

Using the cosine function, complete the following equations and match with the correct answer shown below: I. adj/cos θ II. adj/hyp III. cos θ × hyp IV. opp/hyp cos θ =Answer 1Choose...III.II.I. adj =Answer 2Choose...III.II.I. hyp =Answer 3Choose...III.II.I.

cos θ = → II., adj = → III., hyp = → I.

The side opposite the right angle is called the ? side.

hypotenuse

Write the trigonometric formula for the tan function.

opp/adj

Write the trigonometric formula for the sine function.

opp/hyp

The side opposite the reference angle is called the ? side.

opposite

The tan θ is equal to the ? side divided by the ? side.

opposite / adjacent

The sine of θ is equal to the ? divided by the ? .

opposite / hypotenuse

Using the sin function, complete the following equations and match with the correct answer shown below:sin θ =Answer 1Choose...IV.II.III.I. hyp =Answer 2Choose...IV.II.III.I. opp =Answer 3Choose...IV.II.III.I.

sin θ = → II., hyp = → III., opp = → IV.

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: θ = 20°opposite = 45Find: sin θ =

sin(20)=0.34

Given the following information, solve for the missing value. (Round the FINAL answer to four decimal places.)Given: θ = 51°opposite = 15Find: sin θ =

sin(51)=0.7771

Given the following information, solve for the missing value. (Round the FINAL answer to the nearest degree.) Given: sin θ = 0.5446opposite = 160Find θ.

sin^-1(0.5446)=32.99