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If m H= 68°, what is HI to the nearest tenth? Show your work.

If m H= 68°, what is HI to the nearest tenth? Show your work.-example-1
User Erikbstack
by
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1 Answer

4 votes

Answer: HI = 5.3 cm

Let HI = x

GH = 2cm

m< H = 68 degrees

to find HI, we will need to apply the SOH CAH TOA RULE

HI = hypotenus

GH = adjacent

Cos 68 = adjacent / hypotenus

Cos 68 = 2 / x

Cross multiply

2 = x * cos 68

cos 68 = 0.3746

2 = x * 0.3746

Isolate x

x = 2/0.3746

x = 5.3cm

Therefore, HI is 5.3cm

User Bill Cheng
by
8.0k points

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