Question

What is the value of g?

Round only your answer to the nearest tenth.
46.9 yd
47.6 yd
61.2 yd
62.6 yd

Answer 1

Apply the Law of Sines here.

54 yd g
----------------- = ------------------
sin (58 deg) sin (74 deg)

Do the math. Cross mult. first, and then solve for g:

54 sin 74
54 sin 74 = g sin 58; g = --------------- = ?
sin 58

Answer 2

Answer: 61.2 yd

Explanation:

In the given triangle GHJ, we have

∠G=74° , GJ= 54 yd , ∠H=58° , HJ =g

To find the value of g we apply the law of sines we get,

`(g)/(\sin(74^(\circ)))=(54)/(\sin(58^(\circ)))\\\\\Rightarrow g=(\sin(74^(\circ))*54)/(\sin(58^(\circ)))\\\\\Rightarrow\ g=((0.96126169593)54)/(0.84804809615)\\\\\Rightarrow\ g=61.2089477187\approx61.2\ yd`

Hence, the value of g = 61.2 yd.