Question 1

The ratio 8/15  represents which trigonometric ratio?

Accepted Answer

tan S

Answer

tan R

Answer

sinS

Answer

Sin R

Question 2

The ratio 28/100 represents which trig ratio?

Accepted Answer

sin G

Answer

cos G

Answer

tanG

Answer

sinF

Question 3

The ratio of 8/17 represents which trig ratio?

Accepted Answer

cosB

Answer

tanB

Answer

cosA

Answer

sinB

Question 4

The ratio of $\frac{a}{c}$ represents which trig ratio?

Accepted Answer

sinA

Answer

sinB

Answer

cosA

Answer

tanB

Question 5

Which expression could be used to find the value of x in the diagram?
First, set up an equation.  Then cross multiply.

Accepted Answer

$x*sin35=12$

Answer

$12*sin35=x$

Answer

$12*cos35=x$

Answer

$x*cos35=12$

Question 6

Which expression can be used to find x?

Accepted Answer

$tan(38)=\frac{x}{15}$

Answer

$cos(38)=\frac{x}{15}$

Answer

$sin(38)=\frac{x}{15}$

Answer

$tan(52)=\frac{x}{15}$

Question 7

Which expression can be used to find x?

Accepted Answer

$sin(65)=\frac{x}{20}$

Answer

$cos(65)=\frac{x}{20}$

Answer

$sin(25)=\frac{x}{20}$

Answer

$tan(65)=\frac{x}{20}$

Question 8

Which expression can be used to find the value of y?
First, set up an equation.  Then cross-multiply.

Accepted Answer

$8*cos(60)=y$

Answer

$y*sin(30)=8$

Answer

$8*sin(60)=y$

Answer

$y*cos(60)=8$

Question 9

Which expression can be used to find the value of y?

Accepted Answer

$cos(45)=\frac{5}{x}$

Answer

$tan(45)=\frac{5}{x}$

Question 10

Which expression can be used to find the value of $a$?

Accepted Answer

$tan(42)=\frac{a}{17}$

Answer

$sin(48)=\frac{a}{17}$

Answer

$sin(42)=\frac{a}{17}$

Answer

$cos(42)=\frac{a}{17}$

Question 11

Which expression can be used to find the value of $b$?

Accepted Answer

$cos(42)=\frac{17}{b}$

Answer

$tan(42)=\frac{17}{b}$

Answer

$sin(42)=\frac{17}{b}$

Answer

$cos(42)=\frac{b}{17}$

Question 12

Which expression can you use to find $m<F$?

Accepted Answer

$cos^{-1}(\frac{x}{z})$

Answer

$sin^{-1}(\frac{x}{z})$

Answer

$cos^{-1}(\frac{z}{x})$

Answer

$tan^{-1}(\frac{x}{z})$

Question 13

Which expression can you use to find $m<A$?

Accepted Answer

$sin^{-1}(\frac{10}{18})$

Answer

$tan^{-1}(\frac{10}{18})$

Answer

$sin^{-1}(\frac{18}{10})$

Answer

$cos^{-1}(\frac{10}{18})$

Question 14

Which expression can be used to find $m<A$?

Accepted Answer

$sin^{-1}(\frac{3.5}{6.5})$

Answer

$sin^{-1}(\frac{6.5}{3.5})$

Answer

$cos^{-1}(\frac{6.5}{3.5})$

Answer

$tan^{-1}(\frac{3.5}{6.5})$

Question 15

You sled down a hill that is 25 meters high.  
The angle of depression is 30°.  
About how far did you sled ?

Accepted Answer

$sin(30)=\frac{25}{x}$

Answer

$cos(60)=\frac{x}{25}$

Answer

$sin(60)=\frac{25}{x}$

Answer

$cos(30)=\frac{25}{x}$

Question 16

A surveyor is standing 115 feet from the base of the Washington Monument.  He measures the angle of elevation to the monument as 78.3°. 
What expression helps you find the height of the Washington Monument?

Accepted Answer

$tan(78.3)=\frac{y}{115}$

Answer

$cos(78.3)=\frac{115}{y}$

Answer

$tan(78.3)=\frac{115}{y}$

Answer

$sin(78.3)=\frac{y}{115}$

Question 17

A biologist wants to know the width w of a river so in order to properly set instruments for studying the pollutants in the water.  From point A, the biologist walks downstream 100 feet and sights to point C.  From this sighting, it is determined that θ=54°.  How wide is the river?  Round your answer to the nearest foot.

Accepted Answer

$tan(54)=\frac{w}{100}$

Answer

$tan(54)=\frac{100}{w}$

Answer

$cos(54)=\frac{w}{100}$

Answer

$sin(54)=\frac{w}{100}$

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