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mina [271]
3 years ago
12

Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = \frac{opposite}{adjacent} = \frac{18}{a}

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = \frac{18}{tan48} ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = \frac{opposite}{hypotenuse} = \frac{18}{c}

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = \frac{18}{sin48} ≈ 24.2 ( to the nearest tenth )

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