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s344n2d4d5 [400]
3 years ago
10

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

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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