Trigonometry Review

Trigonometry Review

Integrated Math 2

Review

• Labeling your HOA

• Sine/Cosine relationship

• Angle of Elevation vs Angle of Depression

• Solve for missing side vs missing angle

• 30-60-90 triangles

Multiple Choice

• $$\frac{29}{21}$$  

• $$\frac{21}{20}$$  

• $$\frac{20}{29}$$  

• $$\frac{20}{21}$$  

Multiple Choice

$$Cos\left(A\right)=$$  

• $$\frac{15}{8}$$  

• $$\frac{8}{17}$$  

• $$\frac{8}{15}$$  

• $$\frac{17}{8}$$  

Multiple Choice

Determine the  $$\sin\left(\theta\right)$$  given the diagram:

• $$\frac{6}{5}$$  

• $$\frac{5}{6}$$  

Multiple Choice

Q4: Given triangle XYZ, find $$\tan\left(\angle Y\right)$$  if XY=50, YZ=40, and XZ=30

• $$\frac{30}{40}$$  

• $$\frac{40}{50}$$  

• $$\frac{50}{30}$$  

• $$\frac{40}{30}$$  

Multiple Choice

If 

$$\sin\left(B\right)=\cos\left(2B\right)$$  find $$m\angle B$$  

• $$15\degree$$  

• $$24\degree$$  

• $$30\degree$$  

• $$60\degree$$  

Multiple Choice

Given $$\sin\left(\angle X\right)=\cos\left(\angle Y\right)$$ , what is two times the sum of $$\angle X$$  and  $$\angle Y$$ ?

• $$180\degree$$  

• $$90\degree$$  

• $$45\degree$$  

• $$30\degree$$  

Multiple Choice

Find the measure of angle P to the nearest whole degree.

• $$73\degree$$

• $$75\degree$$

• $$77\degree$$

• $$79\degree$$

Multiple Choice

Find two angles that satisfy the equation: $$\sin\left(3x-3\right)=\cos\left(6x+3\right)$$

• $$14\degree\ \&\ 76\degree$$  

• $$27\degree\ \&\ 63\degree$$  

• $$40\degree\ \&\ 50\degree$$  

• $$42\degree\ \&\ 48\degree$$  

Multiple Choice

Use a trigonometric ratio to determine the width of the rectangle shown.

• 71.8 cm

• 19.1 cm

• 25.0 cm

• 31.7 cm

Multiple Choice

Q11-A Find the length of AB:

• 21.8

• 31.4

• 42.5

• 51.6

Multiple Choice

Q11-B) Find the length of CA:

• 23.3

• 18.9

• 14.1

• 7.2

Multiple Choice

A ramp is being built to go up a vertical increase of 10 feet. Codes require the angle the ramp makes with the ground to be no more than $$15\degree$$ . At least how long will the actual ramp need to be to pass code? 

• 26.6 feet

• 31.1 feet

• 38.6 feet

• 42.3 feet

Multiple Select

If $$\sin\left(50\degree\right)=\frac{h+6}{14}$$  which of the following must be true? SELECT ALL THAT APPLY.

• $$a=50\degree$$  

• $$a+b=50\degree$$  

• $$a+c=90\degree$$  

• $$c=40\degree$$  

Multiple Choice

Lindsey and her brother are standing on a street in Nashville looking at the top of the Ryman with a 65 degree angle of elevation. They are 100 meters from the Ryman. How tall is the Ryman Auditorium?

• 46.6 meters

• 128.2 meters

• 214.5 meters

• 279.7 meters