Question

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

Answer 1

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)