Light rays that hit the surface of a block of Plexiglas are bent, or refracted, according to Snell's Law: N1sin $\theta$1 = n2sin $\theta$2. Find the angle of refraction $\theta$2 of Plexiglas if its refraction index n2 = 1.51, the refraction index of air n1 = 1, and light enters the Plexiglas at an angle ?1 = 53°. Round your answer to 1 decimal place.

A) 56.9° B) 31.9° C) 58.1° D) 27.9° A) 56.9° B) 31.9° C) 58.1° D) 27.9°

Exam 4: Trigonometric Functions of Angles

Find the area of the triangle described. Round to the nearest integer. $Find the area of the triangle described. Round to the nearest integer. b = 370, c = 439, \gamma = 36$ b = 370, c = 439, $\gamma$ = 36

(Short Answer)

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Question 121

Midair Refueling Below is an enactment of the mid-air military aircraft refueling scenario. Assume the elevation angle that the hose makes with the plane being fueled is θ = 36°. If the smallest acceptable altitude difference a between the two planes is 210 feet, how long should the hose be? Round to the nearest foot.

(Short Answer)

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Question 122

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sin θ.

(Short Answer)

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Question 123

Use a calculator to approximate the cos 14.0° to three decimal places.

(Short Answer)

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Question 124

Light rays that hit the surface of a block of Plexiglas are bent, or refracted, according to Snell's Law: N₁sin $\theta$ ₁ = n₂sin $\theta$ ₂. Find the angle of refraction $\theta$ ₂of Plexiglas if its refraction index n₂ = 1.51, the refraction index of air n₁ = 1, and light enters the Plexiglas at an angle ?₁ = 53°. Round your answer to 1 decimal place. $Light rays that hit the surface of a block of Plexiglas are bent, or refracted, according to Snell's Law: N1sin \theta 1 = n2sin \theta 2. Find the angle of refraction \theta 2 of Plexiglas if its refraction index n2 = 1.51, the refraction index of air n1 = 1, and light enters the Plexiglas at an angle ?1 = 53°. Round your answer to 1 decimal place.$

(Multiple Choice)

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Question 125

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of $A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of \theta drawn in standard position. If sin \theta = , then what is tan \theta ?$ $\theta$ drawn in standard position. If sin $\theta$ = $A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of \theta drawn in standard position. If sin \theta = , then what is tan \theta ?$ , then what is tan $\theta$ ? $A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of \theta drawn in standard position. If sin \theta = , then what is tan \theta ?$

(Multiple Choice)

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Question 126

Use the triangle to write cot $\theta$ , if A = 4, B = 3, and C = 5. $Use the triangle to write cot \theta , if A = 4, B = 3, and C = 5.$

(Multiple Choice)

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Question 127

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Monday and continues until 10:00 pm on Tuesday?

(Short Answer)

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Question 128

Use the right triangle diagram below and the information given to find the indicated measure. $Use the right triangle diagram below and the information given to find the indicated measure. \beta = 23°, c = 20 m, find a. Round your answer to two decimal places.$ $\beta$ = 23°, c = 20 m, find a. Round your answer to two decimal places.

(Multiple Choice)

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Question 129

Find the angular speed, , associated with rotating a central angle θ = in time t = seconds.

(Short Answer)

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Question 130

Find the distance, s, a point travels along a circle over time t = 42 seconds, given the angular speed = and the radius r = 30 centimeters.

(Short Answer)

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Question 131

Use the right triangle diagram below and the information given to find the indicated measure. β = 11° 30', c = 2,225 mm, find b. Round your answer to the nearest integer.

(Short Answer)

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Question 132

Evaluate sin(1710°) exactly.

(Short Answer)

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Question 133

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. $Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 142 yd., \beta = 54.2°, \gamma = 60.4°$ b = 142 yd., $\beta$ = 54.2°, $\gamma$ = 60.4°

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Question 134

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. $Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. B = 94 ft., \gamma = 45.8°, a = 89.5 ft.$ B = 94 ft., $\gamma$ = 45.8°, a = 89.5ft.

(Multiple Choice)

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Question 135

Use the triangle to write cos $\theta$ , if A = 33, B = 56, and C = 65. $Use the triangle to write cos \theta , if A = 33, B = 56, and C = 65.$

(Multiple Choice)

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Question 136

State in which quadrant or on what axis the terminal side of a 1168° angle in standard position lies.

(Short Answer)

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Question 137

Use the trigonometric ratio identity to calculate tan 60°.

(Short Answer)

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Question 138

Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary. $Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary.$

(Short Answer)

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Question 139

Find the measure (in radians) of a central angle, $\theta$ , that intercepts an arc on a circle with radius 28 ft and arc length 21 ft.

(Multiple Choice)

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Question 140

Showing 121 - 140 of 261

Find the area of the triangle described. Round to the nearest integer. $Find the area of the triangle described. Round to the nearest integer. b = 370, c = 439, \gamma = 36$ b = 370, c = 439, $\gamma$ = 36

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sin θ.

Use a calculator to approximate the cos 14.0° to three decimal places.

Use the triangle to write cot $\theta$ , if A = 4, B = 3, and C = 5. $Use the triangle to write cot \theta , if A = 4, B = 3, and C = 5.$

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Monday and continues until 10:00 pm on Tuesday?

Find the angular speed, , associated with rotating a central angle θ = in time t = seconds.

Find the distance, s, a point travels along a circle over time t = 42 seconds, given the angular speed = and the radius r = 30 centimeters.

Use the right triangle diagram below and the information given to find the indicated measure. β = 11° 30', c = 2,225 mm, find b. Round your answer to the nearest integer.

Evaluate sin(1710°) exactly.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. $Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 142 yd., \beta = 54.2°, \gamma = 60.4°$ b = 142 yd., $\beta$ = 54.2°, $\gamma$ = 60.4°

Use the triangle to write cos $\theta$ , if A = 33, B = 56, and C = 65. $Use the triangle to write cos \theta , if A = 33, B = 56, and C = 65.$

State in which quadrant or on what axis the terminal side of a 1168° angle in standard position lies.

Use the trigonometric ratio identity to calculate tan 60°.

Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary. $Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary.$

Find the measure (in radians) of a central angle, $\theta$ , that intercepts an arc on a circle with radius 28 ft and arc length 21 ft.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 4: Trigonometric Functions of Angles

Find the area of the triangle described. Round to the nearest integer. b = 370, c = 439, γ\gammaγ = 36

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sin θ.

Use a calculator to approximate the cos 14.0° to three decimal places.

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of θ\thetaθ drawn in standard position. If sin θ\thetaθ = , then what is tan θ\thetaθ ?

Use the triangle to write cot θ\thetaθ , if A = 4, B = 3, and C = 5.

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Monday and continues until 10:00 pm on Tuesday?

Use the right triangle diagram below and the information given to find the indicated measure. β\betaβ = 23°, c = 20 m, find a. Round your answer to two decimal places.

Find the angular speed, , associated with rotating a central angle θ = in time t = seconds.

Find the distance, s, a point travels along a circle over time t = 42 seconds, given the angular speed = and the radius r = 30 centimeters.

Use the right triangle diagram below and the information given to find the indicated measure. β = 11° 30', c = 2,225 mm, find b. Round your answer to the nearest integer.

Evaluate sin(1710°) exactly.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 142 yd., β\betaβ = 54.2°, γ\gammaγ = 60.4°

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. B = 94 ft., γ\gammaγ = 45.8°, a = 89.5 ft.

Use the triangle to write cos θ\thetaθ , if A = 33, B = 56, and C = 65.

State in which quadrant or on what axis the terminal side of a 1168° angle in standard position lies.

Use the trigonometric ratio identity to calculate tan 60°.

Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary.

Find the measure (in radians) of a central angle, θ\thetaθ , that intercepts an arc on a circle with radius 28 ft and arc length 21 ft.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Find the area of the triangle described. Round to the nearest integer. $Find the area of the triangle described. Round to the nearest integer. b = 370, c = 439, \gamma = 36$ b = 370, c = 439, $\gamma$ = 36

Use the triangle to write cot $\theta$ , if A = 4, B = 3, and C = 5. $Use the triangle to write cot \theta , if A = 4, B = 3, and C = 5.$

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. $Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. b = 142 yd., \beta = 54.2°, \gamma = 60.4°$ b = 142 yd., $\beta$ = 54.2°, $\gamma$ = 60.4°

Use the triangle to write cos $\theta$ , if A = 33, B = 56, and C = 65. $Use the triangle to write cos \theta , if A = 33, B = 56, and C = 65.$

Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary. $Use the triangle to find the exact secθ. Rationalize the denominator and reduce the fraction if necessary.$

Find the measure (in radians) of a central angle, $\theta$ , that intercepts an arc on a circle with radius 28 ft and arc length 21 ft.