Geometry: Unit 3 Review (Right Triangle Trigonometry)

Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the lite above Brian’s head?

• x = 63 m

• x = 61 m

• x = 59 m

• x = 56

Find the value of sin(A).

• 1/2

• 15/17

• 8/17

• 8/15

Find the lengths of r and t using the special right triangle below.

• r = 12 $\sqrt{3}$ , t = 24

• r = 24 , t = 24 $\sqrt{3}$

• r = 12 , t = 12 $\sqrt{2}$

• r = 24 , t = 12 $\sqrt{3}$

Approximate the unknown angle θ, in the diagram?

• 0.848 $\degree$

• 41.4 $\degree$

• 0.723 $\degree$

• 48.6 $\degree$

Layla leans a ladder 5m long onto the side of a house. The ladder makes an angle of 65° with the ground. How high on the house does the ladder reach?

• x = 5.4

• x = 4.5 m

• x = 3.6

• x = 3.9

Which expression represents sin(G) for the triangle shown?

• x/y

• y/z

• z/y

• x/z

Find the length of c.

• 3 $\sqrt{2}$
  

• 6

• 6

• $\sqrt{10}$

In the right triangle ABC, angle A and angle B are complementary angles. The value of cos(A) is 5/13. What is the value of sin(B)?

• 13/12

• 13/5

• 5/13

• 12/13

Determine the approximate value of θ.

• 
  

  $\degree$ 20.6

• 69.4 $\degree$

• 22.0 $\degree$

• 68.0 $\degree$

Which type of triangle does NOT exist?

• Right Scalene Triangle

• Obtuse Equilateral Triangle

• Right Isosceles Triangle

• Acute Scalene Triangle