Question

Newest #7What is the length of missing side VJ? Round answer to nearest tenth.

Answer 1

VJ ≈ 6.7 in

Explanation:

Using the Sine rule in Δ XYJ

∠ X = 180° - (105 + 35)° = 180° - 140° = 40°, thus

`(XJ)/(sinV)` =
`(VJ)/(sinX)`, that is

`(6)/(sin35)` =
`(VJ)/(sin40)` ( cross- multiply )

VJ sin35° = 6 sin40° ( divide both sides by sin35° )

VJ =
`(6sin40)/(sin35)` ≈ 6.7 ( to the nearest tenth )

Answer 2

Answer: VJ = 6.7 inches

Explanation:

Considering the given triangle JVX, to determine VJ, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

VJ/SinX = VX/SinJ = JX/SinV

The sum of the angles in a triangle is 180°. It means that

X = 180 - (105 + 35) = 40°

Therefore

VJ/Sin 40 = 6/Sin 35

Cross multiplying, it becomes

VJSin35 = 6Sin40

0.5736VJ = 6 × 0.6428

0.5736VJ = 3.8568

VJ = = 3.8568/0.5736

VJ = 6.7 inches