Sine Ratio

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

Answer explanation

$Sin\left(x\right)\ =\ \frac{Opp}{Hyp}$

$\sin\left(x\right)\ =\ \frac{10}{11}$

$x\ =\ \sin^{-1}\left(\frac{10}{11}\right)$


$x\ =65.38002267$

$x\ =\ 65.4\degree\ \left(1\ dp\right)$

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

Answer explanation

$Sin\left(x\right)\ =\ \frac{Opp}{Hyp}$

$\sin\left(x\right)\ =\ \frac{4}{11}$

$x\ =\ \sin^{-1}\left(\frac{4}{11}\right)$


$x\ =21.32368626$

$x\ =\ 21.3\degree\ \left(1\ dp\right)$

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

Answer explanation

$Sin\left(x\right)\ =\ \frac{Opp}{Hyp}$

$\sin\left(x\right)\ =\ \frac{6.5}{9.6}$

$x\ =\ \sin^{-1}\left(\frac{6.5}{9.6}\right)$


$x\ =42.61614271$

$x\ =\ 42.6\degree\ \left(1\ dp\right)$

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

Answer explanation

$Sin\left(x\right)\ =\ \frac{Opp}{Hyp}$

$\sin\left(x\right)\ =\ \frac{5.5}{6}$

$x\ =\ \sin^{-1}\left(\frac{5.5}{6}\right)$


$x\ =66.44353569$

$x\ =\ 66.4\degree\ \left(1\ dp\right)$

Calculate, in degrees, the size of the marked unknown angle.

Answer explanation

 $Sin\left(x\right)\ =\ \frac{Opp}{Hyp}$  

 $\sin\left(x\right)\ =\ \frac{3}{6}$  

 $x\ =\ \sin^{-1}\left(\frac{3}{6}\right)$  


 $x\ =\ 30\degree$  

• 14/48
• 48/50
• 14/50
• 48/14

Choose the correct ratio.

• cos(33)=x/14

• sin(33)=x/14

• cos(33)=14/x

• sin(33)=14/x

Choose the correct ratio.

• sinZ=5/13

• sinX=5/13

• cosX=13/12

• tanZ=12/5

Given cos (40) = 15 / BC & sin (50) = 15 / BC

• 22.9

• 22.6

• 19.6

• 19.3

• sin (40) = BD / 19.6

  &

  tan (40) = BD / 15

• cos (50) = BD / 19.6

  &

  tan (50) = 15 / BD 

• sin (40) = BD / 19.6
  &
  BD = √(19.6² - 15²)
• cos (40) = BD / 19.6
  &
  BD = √(19.6² + 15²)