Question

Q = 370 cm, r = 910 cm, and ∠S = 31°. Find the length of s, to the nearest cm.

a) 510 cm
b) 600 cm
c) 610 cm
d) 620 cm

Answer 1

b) 600 cm. The length of s is approximately 600 cm.

Step-by-step explanation:

To find the length of s in this problem, we can use the trigonometric relationship between the side lengths and angles of a triangle known as the Law of Cosines. According to the Law of Cosines, s can be found using the equation: s2 = q2 + r2 - 2qrcos(S).

Substituting the given values, we have s2 = (370 cm)2 + (910 cm)2 - 2(370 cm)(910 cm)cos(31°).

Simplifying the equation gives us s ≈ 600 cm.