Find the Angles in a Right Triangle Using Trigonometry

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

What would you use to solve for a?

• sin

• cos

• tan

• Pythagorean theorem

When solving trigonometry questions it is important to:

• Label the triangle correctly

• Ensure you are using the correct trigonometric ratio

• Check your answer and put in the correct units

• All of the above

From ∠C, what side is AB?

• Adjacent

• Hypotenuse

• Opposite

• Sine

Which equation would you use to solve for the unknown angle?

• x = tan^–1(24/7)

• x = tan^–1(7/24)

• x = tan^–1(25/7)

• x = tan^–1(7/25)

From the given right triangle,

Find the value of angles M and N

M=​ ​ (a)  

N=​ (b)  

• 77.3°

• 12.7°

• 49.9°

• 40.1°

• 74.5°

• 15.5°

Set up the problem...

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41

Solve for the missing angle

• 50.2

• 93.1

• 12.6

• 42.2

Solve for the missing angle

• 50

• 0.053

• 36.9

• 95

Solve the right triangle.

• <A = 33.7^o, <C = 56.3^o, AC = 5.59

• <A = 56.3^o, <C = 33.7^o, AC = 5.59

• <A = 33.7^o, <C = 56.3^o, AC = 9.01

• <A = 56.3^o, <C = 33.7^o, AC = 9.01