Right Triangles and Acute Angles

Determine which of the two acute angles has the given trigonometric ratio.

The cosine of the angle is 4/5.

• Angle A

• Angle C

Determine which of the two acute angles has the given trigonometric ratio.

The sine of the angle is 0.96

• Angle A

• Angle C

Let ∠D be an acute angle. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.

sin D = 0.75

Let ∠D be an acute angle. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.

cos D = 0.33

Let ∠D be an acute angle. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.

tan D = 0.28

Find m∠A. Round to the nearest tenth.

Find m∠B. Round to the nearest tenth.

Find AB. Round to the nearest tenth.

Find m∠K. Round to the nearest tenth, if needed.

Find KL. Round to the nearest tenth, if needed.