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5 votes
In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.

User Irv
by
7.2k points

2 Answers

5 votes

Answer:

5.1

Explanation:

delta math

User Ashraful
by
8.0k points
0 votes

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

s² = t² + r² - 2 × t × r × cos∠S

t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

The length of s is 5.1 inches to the nearest tenth of an inch

User Paulo Roberto Rosa
by
7.7k points
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