Answer:
The length of s is 5.3 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 = 3.7 inches, r = 1.7 inches, and m∠S = 155°
→ Substitute them in the rule above
∴ s² = (3.7)² + (1.7)² - 2 × 3.7 × 1.7 × cos(155°)
∴ s² = 13.69 + 2.89 - −11.40135196
∴ s² = 27.9813520
→ Take √ for both sides
∴ s = 5.28974025
→ Round it to the nearest tenth
∴ s = 5.3 inches
∴ The length of s is 5.3 inches to the nearest tenth of an inch