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klio [65]
3 years ago
14

Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

x = 74.3

Step-by-step explanation:

Using the trigonometric ratio formula, the missing side, x, of the right angled triangle, can be found as follows:

Ѳ = 22°,

adjacent side length = x

Opposite side length = 30

Thus, we would apply the formula:

tan Ѳ = opposite length/adjacent length

tan 22 = \frac{30}{x}

Multiply both sides by x

tan 22*x = \frac{30}{x}*x

tan 22*x = 30

0.4040*x = 30

Divide both sides by 0.4040 to make x the subject of the formula

\frac{0.4040*x}{0.4040} = \frac{30}{0.4040}

x = \frac{30}{0.4040}

x = 74.26

x ≈ 74.3 (to the nearest tenth)

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