Question

assignment
find the missing side. round to the nearest tenth.
1)
x
17
47°
2)
19
20°
x
3)
51°
x
18
4)
21°
x
17
5)
16
x
48°
6)
12
x
42°

Explanation:

1) Step1: Identify tangent ratio

$\tan(47^\circ) = \frac{17}{x}$

1) Step2: Rearrange to solve for x

$x = \frac{17}{\tan(47^\circ)}$

1) Step3: Calculate and round

$x \approx \frac{17}{1.0724} \approx 15.8$

2) Step1: Identify cosine ratio

$\cos(20^\circ) = \frac{x}{19}$

2) Step2: Rearrange to solve for x

$x = 19 \times \cos(20^\circ)$

2) Step3: Calculate and round

$x \approx 19 \times 0.9397 \approx 17.9$

3) Step1: Identify tangent ratio

$\tan(51^\circ) = \frac{18}{x}$

3) Step2: Rearrange to solve for x

$x = \frac{18}{\tan(51^\circ)}$

3) Step3: Calculate and round

$x \approx \frac{18}{1.2349} \approx 14.6$

4) Step1: Identify sine ratio

$\sin(21^\circ) = \frac{17}{x}$

4) Step2: Rearrange to solve for x

$x = \frac{17}{\sin(21^\circ)}$

4) Step3: Calculate and round

$x \approx \frac{17}{0.3584} \approx 47.4$

5) Step1: Identify tangent ratio

$\tan(48^\circ) = \frac{16}{x}$

5) Step2: Rearrange to solve for x

$x = \frac{16}{\tan(48^\circ)}$

5) Step3: Calculate and round

$x \approx \frac{16}{1.1106} \approx 14.4$

6) Step1: Identify sine ratio

$\sin(42^\circ) = \frac{12}{x}$

6) Step2: Rearrange to solve for x

$x = \frac{12}{\sin(42^\circ)}$

6) Step3: Calculate and round

$x \approx \frac{12}{0.6691} \approx 17.9$

Answer:

1. $15.8$
2. $17.9$
3. $14.6$
4. $47.4$
5. $14.4$
6. $17.9$