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

13.7 m

Proof in Pic:

Answer 2

By applying the law of sines.


`(GH)/(sin \ J) = (GJ)/(sin \ H)`

Given:
GJ = 10 , ∠J =45° , ∠H = 31°

∴
`(GH)/(sin \ 45) = (10)/(sin \ 31)`

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