Exploring Right Triangle Trigonometry

How do you set a calculator to degree mode before performing trigonometric calculations?

• Press 'cos' and select 'degree'

• Press 'mode' and select 'degree'

• Press 'tan' and select 'degree'

• Press 'sin' and select 'degree'

What is the sine of a 62-degree angle rounded to three decimal places?

• 0.424

• 0.848

• 0.883

• 0.5

If the sine of 23 degrees is equal to x/15, what is x when rounded to the nearest tenth?

• 1.4

• 1.7

• 5.9

• 8.7

What trigonometric ratio is used to find the opposite side when given the hypotenuse and an angle?

• Tangent

• Cosine

• Cotangent

• Sine

How do you find the hypotenuse in a right triangle if you know the opposite side and the angle?

• Divide the opposite by the sine of the angle

• Divide the opposite by the cosine of the angle

• Multiply the opposite by the cosine of the angle

• Multiply the opposite by the sine of the angle

For a 54-degree angle in a right triangle, if 25 is the hypotenuse, what is the length of the adjacent side using cosine?

• 11.2 cm

• 19.6 m

• 21.5 mm

• 14.7 km

What is the length of the opposite side in a right triangle if the tangent of 66 degrees equals the opposite side divided by 5 cm?

• 19.6 m

• 11.2 cm

• 21.5 mm

• 14.7 km

In a 30-60-90 triangle, if the short leg is 5, what is the length of the hypotenuse?

• 10

• 21.5

• 8.7

• 11.3

What is the relationship between the sides in a 30-60-90 triangle?

• Hypotenuse is twice the short leg

• Hypotenuse is equal to the short leg

• Hypotenuse is half the short leg

• Hypotenuse is three times the short leg

In a 45-45-90 triangle, if the hypotenuse is 16, what is the length of one leg using the sine of 45 degrees?

• 21.5

• 8.7

• 10

• 11.3