Question

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

Answer 1

x = 74.3

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 = (30)/(x)`

Multiply both sides by x

`tan 22*x = (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

`(0.4040*x)/(0.4040) = (30)/(0.4040)`

`x = (30)/(0.4040)`

`x = 74.26`

x ≈ 74.3 (to the nearest tenth)