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4 votes
Solve the right triangle.

Round your answers to the nearest tenth.
Check
20
a
B = 48°
-0
0 =
C =
X

Solve the right triangle. Round your answers to the nearest tenth. Check 20 a B = 48° -0 0 = C-example-1
User Sathwick
by
8.3k points

1 Answer

2 votes

Answer:

∠ B = 48° , a ≈ 18.0 , c ≈ 26.9

Explanation:

∠ B = 180° - ( 90 + 42)° = 180° - 132° = 48°

using the tangent ratio in the right triangle

tan42° =
(opposite)/(adjacent) =
(a)/(20) ( multiply both sides by 20 )

20 × tan42° = a , then

a ≈ 18.0 ( to the nearest tenth )

using the cosine ratio in the right triangle

cos42° =
(20)/(c) ( multiply both sides by c )

c × cos42° = 20 ( divide both sides by cos42° )

c =
(20)/(cos42) ≈ 26.9 ( to the nearest tenth )

User Asmus
by
8.5k points

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