Conduit Fabrication - Lesson 2

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

0.2165

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

0.6000

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

0.7500

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

0.7771

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

19.3025

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

3

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

5

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? This problem can be solved using ratios. Select one: a. True b. False

a. True

Understanding trigonometry will improve one's understanding of designing and fabricating conduit systems. Select one: a. True b. False

a. True

The side next to the reference angle is called the ? side. Select one: a. adjacent b. hypotenuse c. opposite d. theta

a. adjacent

The cos θ is equal to the ? side divided by the ? . Select one: a. adjacent / hypotenuse b. hypotenuse / adjacent c. opposite / adjacent d. opposite / hypotenuse

a. adjacent / hypotenuse

Write the trigonometric formula for the tan function. Select one: a. opp/adj b. opp/hyp c. opp/tan θ d. tan θ × adj

a. opp/adj

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°

b. 10.7°

The sum of all the angles in any triangle always equals ? . Select one: a. 90° b. 180° c. 270° d. 360°

b. 180°

What is the trigonometric formula for the cos function? Select one: a. adj / cos θ b. adj / hyp c. cos θ × hyp d. opp / hyp

b. adj / hyp

The side opposite the right angle is called the ? side. Select one: a. adjacent b. hypotenuse c. opposite d. theta

b. hypotenuse

Write the trigonometric formula for the sine function. Select one: a. adj/hyp b. opp/hyp c. opp/sin θ d. sin θ × hyp

b. opp/hyp

The maximum value of the cos θ is equal to ? , and the minimum value is ? . Select one: a. 0 / 1 b. 0 / 90 c. 1 / 0 d. 90 / 0

c. 1 / 0

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

c. 225'

)ne angle of a right triangle is always a ? angle. Select one: a. 30° b. 60° c. 90° d. 180°

c. 90°

Write the Pythagorean Theorem as a mathematical formula. Select one: a. c = a2 + b2 b. 2c = 2a +2b c. c2 = a2 + b2 d. c2 = a2 × b2

c. c2 = a2 + b2

The side opposite the reference angle is called the ? side. Select one: a. adjacent b. hypotenuse c. opposite d. theta

c. opposite

The tan θ is equal to the ? side divided by the ? side. Select one: a. adjacent / hypotenuse b. hypotenuse / adjacent c. opposite / adjacent d. opposite / hypotenuse

c. opposite / adjacent

The maximum value for the tan function is equal to ? and occurs at ? . Select one: a. 0 / 1° b. 0 / 90° c. 1 / 0° d. 90 / 0° e. 90 / undefined degrees f. undefined / 90°

d. 90 / 0°

θ in a right triangle equals 36°. What are the values of the other two angles? Select one: a. 36° / 90° b. 36° / 180° c. 36° / 54° d. 90° / 54°

d. 90° / 54°

Maximum value of the cos θ occurs at ? , and its minimum value occurs at ? . Select one: a. 0° / 1° b. 0° / 90° c. 1° / 0° d. 90°/0°

d. 90°/0°

he sine of θ is equal to the ? divided by the ? . Select one: a. adjacent / hypotenuse b. hypotenuse / adjacent c. opposite / adjacent d. opposite / hypotenuse

d. opposite / hypotenuse

The term ? is used to identify the reference point or angle. Select one: a. adjacent b. hypotenuse c. opposite d. theta

d. 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. Select one: a. cos tables b. sin tables c. tan tables d. trigonometric tables

d. trigonometric tables