Right-Angled Trigonometry

What is the length of the hypotenuse if the two other sides are 12 cm and 16 cm?

• 400 cm

• 20 cm

• 28 cm

• 7.46 cm

What is the length of a?

• $14\cos63\degree$
  

• $14\sin63\degree$

• $\frac{14}{\cos63\degree}$

• $\frac{14}{\sin63\degree}$

 $What\ is\ the\ value\ of\ \cos\theta?$  

•  $\frac{9}{15}$  

•  $\frac{12}{9}$  

•  $\frac{12}{15}$  

•  $\frac{9}{12}$  

 $What\ is\ the\ length\ of\ x?$  

•  $18\cos58\degree$  

•  $\frac{18}{\cos58\degree}$  

•  $\frac{18}{\sin58\degree}$  

•  $18\sin58\degree$  

 $What\ is\ the\ length\ of\ x?$  

•  $45\cos34\degree$  

•  $45\sin34\degree$  

•  $\frac{45}{\cos34\degree}$  

•  $\frac{45}{\sin34\degree}$  

 $How\ would\ angle\theta\ be\ calculated?$  

•  $\tan^{-1}\left(\frac{5}{4}\right)$  

•  $\tan^{-1}\left(\frac{4}{5}\right)$  

•  $\tan\left(\frac{5}{4}\right)$  

•  $\tan\left(\frac{4}{5}\right)$  

What is the angle of elevation to the top of a tower 80m tall and 100m from the observer? Answer to the nearest minute.

• $51\degree18'$

• $51\degree24'$

• $38\degree36'$

• $38\degree42'$

Calculate the length of x, correct to the nearest mm.

• 100 mm

• 10 mm

• 8 mm

• 84 mm