Free Printable Unit 5B Test Review

1.

What is the side opposite ∠A?

a)

AB

b)

BC

c)

AC

d)

∠B

2.

What is the hypotenuse of the triangle shown?

a)

AB

b)

BC

c)

AC

d)

∠A

3.

What is the side adjacent to ∠A?

a)

AB

b)

BC

c)

AC

d)

∠C

4.

What is the ratio for Sine?

a)

$\frac{Hypotenuse}{Opposite}$

b)

$\frac{Opposite}{Hypotenuse}$

c)

$\frac{Opposite}{Adjacent\ }$

d)

$\frac{Adjacent}{Opposite}$

5.

What is the ratio for Cosine?

a)

$\frac{Opposite}{Hypotenuse}$

b)

$\frac{Adjacent\ }{Hypotenuse}$

c)

$\frac{Adjacent}{Opposite}$

d)

$\frac{Opposite}{Adjacent}$

6.

What is the ratio for Tangent

a)

$\frac{Opposite}{Adjacent}$

b)

$\frac{Opposite}{Hypotenuse}$

c)

$\frac{Adjacent}{Hypotenuse}$

d)

$\frac{Hypotenuse}{Opposite}$

7.

If you know the Opposite and the Hypotenuse. Write the equation to find the viewing angle

a)

$\theta=\sin^{-1}\left[\frac{opp}{hypo}\right]$

b)

$\theta=\cos^{-1}\left[\frac{opp}{hypo}\right]$

c)

$\theta=\tan^{-1}\left[\frac{opp}{hypo}\right]$

d)

$\theta=\sin^{-1}\left[\frac{hypo}{opp}\right]$

8.

If you know the ADJACENT and the HYPOTENUSE. Write the equation to find the viewing angle

a)

$\theta=\sin^{-1}\left[\frac{adj}{hypo}\right]$

b)

$\theta=\cos^{-1}\left[\frac{adj}{hypo}\right]$

c)

$\theta=\tan^{-1}\left[\frac{adj}{hypo}\right]$

d)

$\theta=\sin^{-1}\left[\frac{hypo}{adj}\right]$

9.

If you know the viewing angle and the ADJACENT side of a triangle. Write the equation to solve for the OPPOSITE side

a)

$\frac{Adj}{\sin\left(\theta\right)}$

b)

$\frac{Adj}{\cos\left(\theta\right)}$

c)

$\frac{Adj}{\tan\left(\theta\right)}$

d)

$Adj\cdot\tan\left(\theta\right)$

10.

If you know the viewing angle and the OPPOSITE side of a triangle. Write the equation to solve for the HYPOTENUSE side

a)

$\frac{Opp}{\sin\left(\theta\right)}$

b)

$\frac{Opp}{\cos\left(\theta\right)}$

c)

$\frac{Opp}{\tan\left(\theta\right)}$

d)

$Opp\cdot\tan\left(\theta\right)$

11.

If you know the viewing angle and the HYPOTENUSE side of a triangle. Write the equation to solve for the ADJACENT side

a)

$\frac{Hypo}{\sin\left(\theta\right)}$

b)

$\frac{Hypo}{\cos\left(\theta\right)}$

c)

$Hypo\cdot\sin\left(\theta\right)$

d)

$Hypo\cdot\cos\left(\theta\right)$

12.

$\sin^{-1}\left[\cos\left(37\right)\right]=$

Round to the nearest whole number if needed

(a)

13.

$\cos^{-1}\left[\cos\left(67\right)\right]=$

Round to the nearest whole number if needed

(a)

14.

Answer to two decimal places $Tan\left(40\degree\right)=$

(a)

15.

Write the Trig equation to solve for X

a)

$\sin\left(40\degree\right)=\frac{x}{40}$

b)

$\sin\left(40\degree\right)=\frac{x}{19}$

c)

$\cos\left(40\degree\right)=\frac{x}{19}$

d)

$\tan\left(40\ \degree\right)=\frac{19}{x}$

16.

Solve for X

a)

$25.71$

b)

$12.21$

c)

$14.55$

d)

$22.64$

17.

Write the trig equation to find the measure of the missing angle.

a)

$\cos^{-1}\left[\frac{13}{20}\right]$

b)

$\sin^{-1}\left[\frac{13}{20}\right]$

c)

$\tan^{-1}\left[\frac{13}{20}\right]$

d)

$\cos^{-1}\left[\frac{20}{13}\right]$

18.

Find the measure of the missing angle.

a)

49^o

b)

51^o

c)

41^o

d)

33^o

19.

Find the value of x.

a)

8.7

b)

10

c)

18.3

d)

17.3

20.

Find the Value of a. Round to nearest tenth. 1 decimal. place 0.0

(a)

21.

What is the value of the Hypotenuse of the Largest Triangle

(a)

22.

What is the correct equation to solve for x ?

a)

$\tan\left(58\right)=\frac{x}{11}$

b)

$\tan\left(58\right)=\frac{11}{x}$

c)

$\cos\left(58\right)=\frac{11}{x}$

d)

$\sin\left(58\right)=\frac{x}{11}$

23.

What is the value for x? Answer to the nearest whole tenth. 1 decimal place 0.0

(a)

24.

$\cos^{-1}\left(\frac{3}{5}\right)=$

a)

48.59

b)

25.84

c)

36.87

d)

53.13

25.

Write the trig equation to find x.

a)

$\tan\left(72\right)=\frac{x}{6}$

b)

$\sin\left(72\right)=\frac{6}{x}$

c)

$\cos\left(72\right)=\frac{6}{x}$

d)

$\sin\left(72\right)=\frac{x}{6}$

26.

Rewrite $\cos\left(72\right)=\frac{6}{x}$ to solve for x

a)

$x=\frac{\cos\left(72\right)}{6}$

b)

$x=\frac{6}{\cos\left(72\right)}$

c)

$\cos\left(72\right)=\frac{6}{x}$

d)

$6\cdot\cos\left(72\right)=x$

27.

Find x. Round to the nearest tenth.

a)

6.3 cm

b)

19.4 cm

c)

1.9 cm

d)

23.7

28.

A builder wishes to construct a ramp 20 feet long (Diagonally) that rises to a height of 7 feet above the ground. Write the trig equation to find the angle of elevation of the ramp.

a)

$x=\sin^{-1}\left(\frac{20}{7}\right)$

b)

$x=\tan^{-1}\left(\frac{7}{20}\right)$

c)

$x=\sin^{-1}\left(\frac{7}{20}\right)$

d)

$x=\cos^{-1}\left(\frac{7}{20}\right)$

29.

A builder wishes to construct a ramp 20 feet long (Diagonally) that rises to a height of 7 feet above the ground. Find the angle of elevation of the ramp. Round to the nearest whole degree

(a)

30.

A tree casts a shadow that is 90 feet long. If the angle of elevation to the sun is 31°, Write the equation to find how tall is the tree?

a)

$\tan\left(31\right)=\frac{90}{H}$

b)

$\tan\left(31\right)=\frac{x}{90}$

c)

$\sin\left(31\right)=\frac{x}{90}$

d)

$\cos\left(31\right)=\frac{x}{90}$

31.

A tree casts a shadow that is 90 feet long. If the angle of elevation to the sun is 31°, how tall is the tree in feet? Answer to a tenth. 1 decimal place 0.0

(a)

Unit 5B Test Review

Total questions: 31

Worksheet time: 5hrs 10mins

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