asked 71.0k views
4 votes
Solve the right triangle.
Round your answers to the nearest tenth.

Solve the right triangle. Round your answers to the nearest tenth.-example-1
asked
User Twooster
by
8.3k points

1 Answer

4 votes

Answer:

A = 32°. b = 22.4. c = 26.4

Explanation:

Opposite is called opposite because it is the side that is opposite the angle we need to find. in this case, b is opposite side.

Hypotenuse (c) is always facing the 90-degree angle.

Adjacent (14) is the remaining side.

Sine = O/H = b/c

Cosine = A/H = 14/c

Tangent = O/A = b/14

In a right-angled triangle, a^2 + b^2 = c^2

Sine rule: a/SIN A = b/SIN B = c/SIN C

angles in a triangle add up to 180

angle A = 180 - 90 - 58 = 32°.

b/SIN 58 = 14/SIN 32, b = (14 X SIN 58) / SIN 32 = 22.4.

c² = 14² + 22.4². c = 26.4

answered
User Baroudi Safwen
by
8.4k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.