Question 1

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if A = 48° and c = 14 m.

Accepted Answer

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

Question 2

Find A to the nearest 0.1° if a = 23.5 cm and c = 56.1 cm.

Accepted Answer

A) 24.8° 
B) 67.3° 
C) 65.2° 
D) 22.7° 
A) 24.8° 
B) 67.3° 
C) 65.2° 
D) 22.7°

Question 3

Use the sine function to find length c of a standard right triangle ABC given a = 13 cm and A = 73.4°. Round to four significant digits.

Accepted Answer

A) 12.46 cm 
B) 45.50 cm 
C) 13.57 cm 
D) 3.714 cm 
A) 12.46 cm 
B) 45.50 cm 
C) 13.57 cm 
D) 3.714 cm

Question 4

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

Accepted Answer

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

Question 5

Use a calculator to find tan 1.4752. Round to four significant digits.

Accepted Answer

The answer of Use a calculator to find tan 1.4752....

Question 6

Find 8 if cos 8 = 0.6896 rounded to the nearest tenth of a degree.

Accepted Answer

A) 34.6° 
B) 42.6° 
C) 0.8° 
D) 46.4° 
A) 34.6° 
B) 42.6° 
C) 0.8° 
D) 46.4°

Question 7

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

Accepted Answer

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

Question 8

Find a rounded to four significant digits if b = 23.5 cm and A = 56.1°.

Accepted Answer

A) 13.11 cm 
B) 34.97 cm 
C) 19.51 cm 
D) 15.79 cm 
A) 13.11 cm 
B) 34.97 cm 
C) 19.51 cm 
D) 15.79 cm

Question 9

Use the cosine function to find a of a standard right triangle ABC given B = 62.4° and c = 44.8 cm. Round to four significant digits.

Accepted Answer

A) 96.70 cm 
B) 0.0103 cm 
C) 39.70 cm 
D) 20.76 cm 
A) 96.70 cm 
B) 0.0103 cm 
C) 39.70 cm 
D) 20.76 cm

Question 10

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

Accepted Answer

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

Question 11

Determine the degree measure of angle 8 if tan 8 = 2.734, rounding to the nearest tenth of a degree.

Accepted Answer

A) 0.8° 
B) 1.2° 
C) 69.9° 
D) 20.1° 
A) 0.8° 
B) 1.2° 
C) 69.9° 
D) 20.1°

Question 12

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°.
Find A if a = 7 m and c = 10 m.

Accepted Answer

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

Question 13

Determine the radian measure of angle 8 if tan 8 = 1.5043, rounding to the nearest ten-thousandth.

Accepted Answer

A) 56.3856 rad 
B) 33.6144 rad 
C) 1.0161 rad 
D) 0.9841 rad 
A) 56.3856 rad 
B) 33.6144 rad 
C) 1.0161 rad 
D) 0.9841 rad

Question 14

Use a calculator to find cos 3.2° rounded to the nearest ten-thousandth.

Accepted Answer

A) 1.0017 
B) 0.9984 
C) -0.9983 
D) 1.0016 
A) 1.0017 
B) 0.9984 
C) -0.9983 
D) 1.0016

Question 15

If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms.

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 4 }$ 
D)  $\frac { 3 } { 4 }$ 
A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 4 }$ 
D)  $\frac { 3 } { 4 }$

Question 16

In right triangle ABC, with right angle C, side a = 9, b = 12, and c = 15, find the sin A
expressed as a fraction in lowest terms.

Accepted Answer

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

Question 17

Find sin 25.5° rounded to the nearest ten-thousandth.

Accepted Answer

A) 0.3591 
B) 2.7851 
C) 2.3228 
D) 0.4305 
A) 0.3591 
B) 2.7851 
C) 2.3228 
D) 0.4305

Question 18

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°.
Find B if A = 74.5° and a = 14 m.

Accepted Answer

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

Question 19

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if b = 8 dm and c = 12 dm.

Accepted Answer

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

Question 20

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.5107.

Accepted Answer

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

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if A = 48° and c = 14 m.

Find A to the nearest 0.1° if a = 23.5 cm and c = 56.1 cm.

Use the sine function to find length c of a standard right triangle ABC given a = 13 cm and A = 73.4°. Round to four significant digits.

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

Use a calculator to find tan 1.4752. Round to four significant digits.

Find 8 if cos 8 = 0.6896 rounded to the nearest tenth of a degree.

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

Find a rounded to four significant digits if b = 23.5 cm and A = 56.1°.

Use the cosine function to find a of a standard right triangle ABC given B = 62.4° and c = 44.8 cm. Round to four significant digits.

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

Determine the degree measure of angle 8 if tan 8 = 2.734, rounding to the nearest tenth of a degree.

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°. Find A if a = 7 m and c = 10 m.

Determine the radian measure of angle 8 if tan 8 = 1.5043, rounding to the nearest ten-thousandth.

Use a calculator to find cos 3.2° rounded to the nearest ten-thousandth.

If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms. $If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms.$

In right triangle ABC, with right angle C, side a = 9, b = 12, and c = 15, find the sin A expressed as a fraction in lowest terms.

Find sin 25.5° rounded to the nearest ten-thousandth.

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°. Find B if A = 74.5° and a = 14 m.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if b = 8 dm and c = 12 dm.

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.5107.

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

Exam 19: Right-Triangle Trigonometry

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if A = 48° and c = 14 m.

Find A to the nearest 0.1° if a = 23.5 cm and c = 56.1 cm.

Use the sine function to find length c of a standard right triangle ABC given a = 13 cm and A = 73.4°. Round to four significant digits.

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

Use a calculator to find tan 1.4752. Round to four significant digits.

Find 8 if cos 8 = 0.6896 rounded to the nearest tenth of a degree.

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

Find a rounded to four significant digits if b = 23.5 cm and A = 56.1°.

Use the cosine function to find a of a standard right triangle ABC given B = 62.4° and c = 44.8 cm. Round to four significant digits.

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

Determine the degree measure of angle 8 if tan 8 = 2.734, rounding to the nearest tenth of a degree.

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°. Find A if a = 7 m and c = 10 m.

Determine the radian measure of angle 8 if tan 8 = 1.5043, rounding to the nearest ten-thousandth.

Use a calculator to find cos 3.2° rounded to the nearest ten-thousandth.

If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms.

In right triangle ABC, with right angle C, side a = 9, b = 12, and c = 15, find the sin A expressed as a fraction in lowest terms.

Find sin 25.5° rounded to the nearest ten-thousandth.

In right triangle ABC with right angle C, find the indicated part. Round to the nearest 0.1°. Find B if A = 74.5° and a = 14 m.

In right triangle ABC with right angle C, find the indicated part. Round to four significant digits. Find a if b = 8 dm and c = 12 dm.

Find 8 to the nearest ten-thousandth of a radian if sin 8 = 0.5107.

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

If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms. $If a = 9, b = 12, and c = 15, express cos A as a fraction in lowest terms.$