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Solving a right triangle ‼️ Can someone help me find B, b, and c❓Round to the nearest tenth.

Solving a right triangle ‼️ Can someone help me find B, b, and c❓Round to the nearest-example-1
User Hypaethral
by
8.0k points

1 Answer

3 votes

Answer:

see explanation

Explanation:

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

Subtract the sum of the 2 given angles from 180 for B

B = 180° - (90 + 39)° = 180° - 129° = 51°

Using the tangent and sine ratios in the right triangle for b and c

tan39° =
(opposite)/(adjacent) =
(27)/(b)

Multiply both sides by b

b × tan39° = 27 ( divide both sides by tan39° )

b =
(27)/(tan39) ≈ 7.5 ( to the nearest tenth )

sin39° =
(opposite)/(hypotenuse) =
(27)/(c)

Multiply both sides by c

c × sin39° = 27 ( divide both sides by sin39° )

c =
(27)/(sin39) ≈ 28.0 ( to the nearest tenth )

User CGN
by
8.3k points

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