Question

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

Answer 1

x = 19.9

Explanation:

Given the above right angled triangle, we can find the missing side, x, using the trigonometric ratio formula.

The given angle (θ) = 19°

The adjacent length = x

Hypotenuse length = 21

Thus,

Cos (θ) = adjacent/hypotenuse

`cos 19 = (x)/(21)`

`0.9455 = (x)/(21)`

Multiply both sides by 21 to solve for x

`0.9455*21 = x`

`0.9455*21 = x`

Answer:

x =

Explanation:

Given the above right angled triangle, we can find the missing side, x, using the trigonometric ratio formula.

The given angle (θ) = 19°

The adjacent length = x

Hypotenuse length = 21

Thus,

Cos (θ) = adjacent/hypotenuse

`cos 19 = (x)/(21)`

`0.9455 = (x)/(21)`

Multiply both sides by 21 to solve for x

`0.9455*21 = x`

`19.86 = x`

`x = 19.86`

The missing side = x ≈ 19.9 (to the nearest tenth)