Chapter 8 Review: Trigonometry (Advanced Geometry)

The lengths of a triangle are 17, 17√(2), and 34. Classify the triangle using the Pythagorean Inequalities.

• Obtuse

• Acute

• Right

Tags

CCSS.8.G.B.8

Which of the following describes the relationship between the sides of 30-60-90 right triangle, from shortest to longest?

• x : x√(3) : 2x

• x : 2x : x√(3)

• x : x : x√(2)

• x : x√(2) : x√(3)

Which of the following describes the relationship between the sides of 45-45-90 right triangle, from shortest to longest?

• x : x√(3) : 2x

• x : 2x : x√(3)

• x : x : x√(2)

• x : x√(2) : x√(3)

Which trigonometric ratio should you use?

• tangent

• sine

• cosine

• cosecant

Tags

CCSS.HSG.SRT.C.6

Find the missing side lengths a and b in simplest radical form.

• a = 13; b = 13√(3)

• a = 52; b = 26√(3)

• a = 13√(3); b = 13

• a = 13√(2); b = 13√(2)

Tags

CCSS.HSG.SRT.C.8

Find the missing side length x in simplest radical form.

•  $x=12\sqrt{2}$  
  

•  $x=6\sqrt{2}$  
  

•  $x=\frac{6}{\sqrt{2}}$  
  

•  $x=\frac{12}{\sqrt{2}}$   
  

•  $x=6$  

Tags

CCSS.8.G.B.7

What is the correct equation to solve for x ?

• tan (58) = x/11
• tan (58) = 11/x
• cos (58) = x/11
• sin (58) = x/11

Tags

CCSS.HSG.SRT.C.8

Find the value of x. Round to the nearest tenth (one decimal place).

Tags

CCSS.HSG.SRT.C.8

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Tags

CCSS.HSG.SRT.C.8

A surveyor is 300 ft. from the base of an apartment building. The angle of elevation to the top of the building is 24°, and her angle-measuring device is 5 ft. above the ground. Find the height of the building. Round to the nearest whole number.