Question 1

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find b if A = 21° and c = 13 ft.

Accepted Answer

The answer of In right triangle ABC with right angle...

Question 2

Use a calculator to find tan 0.5842. Round to four significant digits.

Accepted Answer

The answer of Use a calculator to find tan 0.5842....

Question 3

Determine the degree measure of 8 if cos 8 = 0.7022 in degree, minute, second rounded to the nearest second.

Accepted Answer

A) 45° 23' 46" 
B) 0° 47' 32" 
C) 45° 39' 62" 
D) 44° 36' 13" 
A) 45° 23' 46" 
B) 0° 47' 32" 
C) 45° 39' 62" 
D) 44° 36' 13"

Question 4

Use a calculator to find tan 1.0853. Round to four significant digits.

Accepted Answer

The answer of Use a calculator to find tan 1.0853....

Question 5

Use a calculator to find the sin 0.4751. Round to four significant digits.

Accepted Answer

The answer of Use a calculator to find the sin...

Question 6

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 60° and b = 12 cm.

Accepted Answer

The answer of In right triangle ABC with right angle...

Question 7

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 15.4 m and B = 31°.

Accepted Answer

A) 29.90 m 
B) 38.12 m 
C) 7.932 m 
D) 0.03344 m 
A) 29.90 m 
B) 38.12 m 
C) 7.932 m 
D) 0.03344 m

Question 8

If a = 4.23, b = 10.07, and c = 10.92, express sin B as a decimal to the nearest ten-thousandth.

Accepted Answer

A) 2.5816 
B) 0.9222 
C) 0.3874 
D) 1.0844 
A) 2.5816 
B) 0.9222 
C) 0.3874 
D) 1.0844

Question 9

Use the sine function to find B of a standard right triangle ABC given b = 55.1 cm and c = 56.7 cm. Round to the nearest 0.1°.

Accepted Answer

A) 44.2° 
B) 45.8° 
C) 76.4° 
D) 13.6° 
A) 44.2° 
B) 45.8° 
C) 76.4° 
D) 13.6°

Question 10

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if A = 69.5° and a = 12 m.

Accepted Answer

The answer of In right triangle ABC with right angle...

Question 11

If a = 4.23, b = 10.07, and c = 10.92, express tan A as a decimal to the nearest ten-thousandth.

Accepted Answer

A) 2.5816 
B) 2.3806 
C) 0.4201 
D) 0.3874 
A) 2.5816 
B) 2.3806 
C) 0.4201 
D) 0.3874

Question 12

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.8253.

Accepted Answer

The answer of Find 8 to the nearest ten-thousandth of...

Question 13

In right triangle ABC, with right angle C, side a = 12, b = 16, and c = 20, find the cos A
expressed as a fraction in lowest terms.

Accepted Answer

The answer of In right triangle ABC, with right angle...

Question 14

Find sin A and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6.

Accepted Answer

A) 0.7692 
B) 0.6410 
C) 1.200 
D) 0.8333 
A) 0.7692 
B) 0.6410 
C) 1.200 
D) 0.8333

Question 15

Use a calculator to find cos 2.31 rounded to the nearest ten-thousandth.

Accepted Answer

A) -1.4843 
B) 0.9992 
C) 1.0008 
D) -0.6737 
A) -1.4843 
B) 0.9992 
C) 1.0008 
D) -0.6737

Question 16

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 16.48 ft and A = 38.1°.

Accepted Answer

A) 26.71 ft 
B) 10.17 ft 
C) 20.94 ft 
D) 12.97 ft 
A) 26.71 ft 
B) 10.17 ft 
C) 20.94 ft 
D) 12.97 ft

Question 17

If a = 4.23, b = 10.07, and c = 10.92, express tan B as a decimal to the nearest ten-thousandth.

Accepted Answer

A) 2.3806 
B) 0.4201 
C) 0.3874 
D) 0.9222 
A) 2.3806 
B) 0.4201 
C) 0.3874 
D) 0.9222

Question 18

Use the definitions of the sine, cosine, and tangent functions to verify the property:
 $\frac { \sin 8 } { \cos 8 } = \tan 8$

Accepted Answer

The answer of Use the definitions of the sine, cosine,...

Question 19

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 30° and b = 16 cm.

Accepted Answer

The answer of In right triangle ABC with right angle...

Question 20

If a = 7, b = 11, and c = 13.04, express sin A as a decimal to the nearest ten-thousandth.

Accepted Answer

A) 1.5714 
B) 1.8629 
C) 0.5368 
D) 0.8436 
A) 1.5714 
B) 1.8629 
C) 0.5368 
D) 0.8436

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find b if A = 21° and c = 13 ft.

Use a calculator to find tan 0.5842. Round to four significant digits.

Determine the degree measure of 8 if cos 8 = 0.7022 in degree, minute, second rounded to the nearest second.

Use a calculator to find tan 1.0853. Round to four significant digits.

Use a calculator to find the sin 0.4751. Round to four significant digits.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 60° and b = 12 cm.

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 15.4 m and B = 31°.

If a = 4.23, b = 10.07, and c = 10.92, express sin B as a decimal to the nearest ten-thousandth.

Use the sine function to find B of a standard right triangle ABC given b = 55.1 cm and c = 56.7 cm. Round to the nearest 0.1°.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if A = 69.5° and a = 12 m.

If a = 4.23, b = 10.07, and c = 10.92, express tan A as a decimal to the nearest ten-thousandth.

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.8253.

In right triangle ABC, with right angle C, side a = 12, b = 16, and c = 20, find the cos A expressed as a fraction in lowest terms.

Find sin A and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6.

Use a calculator to find cos 2.31 rounded to the nearest ten-thousandth.

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 16.48 ft and A = 38.1°.

If a = 4.23, b = 10.07, and c = 10.92, express tan B as a decimal to the nearest ten-thousandth.

Use the definitions of the sine, cosine, and tangent functions to verify the property: $\frac { \sin 8 } { \cos 8 } = \tan 8$

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 30° and b = 16 cm.

If a = 7, b = 11, and c = 13.04, express sin A as a decimal to the nearest ten-thousandth.

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

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Trigonometry With Any Angle

Filters

Exam 19: Right-Triangle Trigonometry

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find b if A = 21° and c = 13 ft.

Use a calculator to find tan 0.5842. Round to four significant digits.

Determine the degree measure of 8 if cos 8 = 0.7022 in degree, minute, second rounded to the nearest second.

Use a calculator to find tan 1.0853. Round to four significant digits.

Use a calculator to find the sin 0.4751. Round to four significant digits.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 60° and b = 12 cm.

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 15.4 m and B = 31°.

If a = 4.23, b = 10.07, and c = 10.92, express sin B as a decimal to the nearest ten-thousandth.

Use the sine function to find B of a standard right triangle ABC given b = 55.1 cm and c = 56.7 cm. Round to the nearest 0.1°.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if A = 69.5° and a = 12 m.

If a = 4.23, b = 10.07, and c = 10.92, express tan A as a decimal to the nearest ten-thousandth.

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.8253.

In right triangle ABC, with right angle C, side a = 12, b = 16, and c = 20, find the cos A expressed as a fraction in lowest terms.

Find sin A and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6.

Use a calculator to find cos 2.31 rounded to the nearest ten-thousandth.

Use the sine function to find the indicated part of triangle ABC. Round to four significant digits. Find c if b = 16.48 ft and A = 38.1°.

If a = 4.23, b = 10.07, and c = 10.92, express tan B as a decimal to the nearest ten-thousandth.

Use the definitions of the sine, cosine, and tangent functions to verify the property: sin⁡8cos⁡8=tan⁡8\frac { \sin 8 } { \cos 8 } = \tan 8cos8sin8​=tan8

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find c if B = 30° and b = 16 cm.

If a = 7, b = 11, and c = 13.04, express sin A as a decimal to the nearest ten-thousandth.

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Trigonometry With Any Angle

Filters

Use the definitions of the sine, cosine, and tangent functions to verify the property: $\frac { \sin 8 } { \cos 8 } = \tan 8$