Trigonometry Quiz

 sin(x) is equal to:

•  $\frac{4}{5}$  

•  $\frac{3}{5}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

 $\cos\theta$  is equal to:

•  $\frac{opposite}{hypotenuse}$  

•  $\frac{adjacent}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{adjacent}{opposite}$  

 $\tan45\degree$  is equal to:

•  $\frac{1}{2}$  

• 2

•  $\sqrt{2}$  

• 1

The length of x can be given by:

• $10\sin20\degree$

• $10\cos20\degree$

• $\frac{10}{\sin20\degree}$

• $\frac{10}{\cos20\degree}$

The length of side x is closest to:

• 6.1

• 6.2

• 5.1

• 5.2

The length of side x is? Round to one decimal place. (number only)

The angle  $\theta$  can be given by:

•  $\tan^{-1}\left(0.4\right)$  

•  $\tan^{-1}\left(2.5\right)$  

•  $\cos^{-1}\left(0.4\right)$  

•  $\tan^{-1}\left(2.5\right)$  

The angle of  $\theta$  is equal to? (Round to two decimal places, numbers only)

The diagram shows a vertical tree of a height of 20m. From point A (on level ground) the horizontal distance to the base B of the tree is 30m. What is the angle of elevation from A to the top of tree C? (Correct to one decimal place, numbers only)

From the top of a 200-meter-high building (first building), the angle of depression to the bottom of the second building is  $50\degree$  . From the same point, the angle of elevation to the top of the second building is  $30\degree$  . To the nearest metre, calculate the height of the second building. (numbers only)