Question

Solving for a missing side.

Find the missing side. Round to the nearest tenth. Please show the work. Part 1
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Answer 1

1. 26.6 units

2. 12.3 units

3. 23.3 units

4. 10.9 units

Explanation:

1. We have the opposite and adjacent sides here for angle 31 degrees. So we need to use tangent, which is opposite / adjacent:

`tan(31)=16/x`

`x=16/(tan(31))` ≈ 26.6 units

2. We have the opposite and hypotenuse sides here for angle 43 degrees. So we need to use sine, which is opposite / hypotenuse:

`sin(43)=x/18`

`x=18*sin(43)` ≈ 12.3 units

3. We have the adjacent and hypotenuse sides here for angle 53 degrees. So we need to use cosine, which is adjacent / hypotenuse:

`cos(53)=14/x`

`x=14/(cos(53))` ≈ 23.3 units

4. We have the adjacent and hypotenuse sides here for angle 33 degrees. So we need to use cosine, which is adjacent / hypotenuse:

`cos(33)=x/13`

`x=13*cos(33)` ≈ 10.9 units

Hope this helps!

Answer 2

1. 26.6

2. 12.3

3. 23.3

4. 10.9

Explanation:

1. tan(31) = 16/x

x = 16/tan(31)

x = 26.62847172

2. sin(43) = x/18

x = 18sin(43)

x = 12.27597048

3. cos(53) = 14/x

x = 14/cos(53)

x = 23.26296198

4. cos(33) = x/13

x = 13cos(33)

x = 10.90271738