Question

What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.

Answer 1

By applying the law of sines.

$\frac{GH}{sin \ J} = \frac{GJ}{sin \ H}$

Given:
GJ = 10 , ∠J =45° , ∠H = 31°

∴ $\frac{GH}{sin \ 45} = \frac{10}{sin \ 31}$

∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m

Answer 2

Answer:

13.7 m

Proof in Pic: