Find Missing Ratio

Choose the correct ratio.

• cos(33^o)=x/14

• sin(33^o)=x/14

• cos(33^o)=14/x

• sin(33^o)=14/x

Solve for x. Round to the nearest tenth.

• 7.5

• 34.1

• 14.1

• 30.1

Solve for x. Round to the nearest tenth.

• 11.1

• 9.3

• 13.0

• 5.5

Answer explanation

$\cos32\degree=\frac{adjacent}{hypotenuse}=\frac{x}{11}$
$11\cdot\cos32\degree=x$
$x\approx9.3$

Solve for x. Round to the nearest tenth.

Make sure your calculator is in DEGREE mode.

• 25.7

• 35.4

• 6.4

• 5.6

Answer explanation

$\tan65\degree=\frac{opposite}{adjacent}=\frac{12}{x}$
Switch $\tan65\degree$ with $x.$
$x=\frac{12}{\tan65\degree}\approx5.6$

Solve for x. Round to the nearest tenth.

• 40.7

• 44.6

• 48.8

• 8.9

Answer explanation

$\tan65\degree=\frac{opposite}{adjacent}=\frac{x}{19}$
$19\cdot\tan65\degree=x\approx40.7$

Use SOHCAHTOA to solve for the missing side. Round your answer to the nearest tenth.

• 44.6

• 22.7

• 41.7

• 38.5

Use SOHCAHTOA to solve for the missing side. Round your answer to the nearest tenth.

• 46.1

• 4.9

• 16.4

• 26.9

Use SOHCAHTOA to solve for the missing side. Round your answer to the nearest tenth.

• 7

• 6.3

• 13.6

• 7.8

Solve for x.

• 10

• 11.3

• 12.0

• 15.0

Solve for x.

• 50.7

• 50.1

• 60.7

• 61.0