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In ΔRST, t = 3.7 inches, s = 1.7 inches and ∠S=155°. Find all possible values of ∠T, to the nearest 10th of a degree.

1 Answer

1 vote

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

User Marcos Regis
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