Answer:
The length of s is 129 inches to the nearest inch.
Step-by-step explanation:
In ΔQRS
∵ q is the side that opposite of ∠Q
∵ r is the side that opposite of ∠R
∵ s is the side that opposite of ∠S
∵ q = 91 inches, r = 67 inches, m∠S = 109°
→ To find side s we will use the cosine rule
∵ s² = q² + r² - 2(q)(r)cos∠S
∴ s² = (91)² + (67)² - 2(91)(67)cos(109°)
∴ s² = 16739.97808
→ Take square root for both sides
∴ s = 129.3830672
→ Round it to the nearest inch (whole number)
∴ s = 129 inches
∴ The length of s is 129 inches to the nearest inch.
