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3 years ago

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

Mathematics

1 answer:

Andrew [12]3 years ago

3 0

Answer:

x = 19.9

Step-by-step 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

$cos 19 = \frac{x}{21}$

$0.9455 = \frac{x}{21}$

Multiply both sides by 21 to solve for x

$0.9455*21 = x$

Answer:

x =

Step-by-step 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

$cos 19 = \frac{x}{21}$

$0.9455 = \frac{x}{21}$

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)

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sample size in 2018 = n1 = 216

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