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Kaylis [27]
3 years ago
14

The diagram shows a parallelogram ABCD and an equilateral triangle BDE.

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.

b) ∠CDB = 120° because 180° - 60° = 120°

Step-by-step explanation:

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gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

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Filling in the given information, you have ...

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Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

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