Trigonometry mathswatch help please

Mathematics

1 answer:

Ksivusya [100]3 years ago

5 0

Answer:

x ≈ 13.4°

Step-by-step explanation:

We can find the angle using the lengths of AC and CD and the tangent relation.

The area is ...

area = (1/2)(AC)(BD)

Filling in the given numbers, we can find AC as ...

42 cm² = (1/2)(AC)(22 cm)

42 cm²/(11 cm) = AC = 42/11 cm

The tangent of the angle is ...

tan(x) = AC/CD = (42/11)/(22 -6) = 21/88

x = arctan(21/88) . . . . . find the angle whose tangent is 21/88

x ≈ 13.4°

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