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Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.

Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution-example-1
User Kausar
by
5.9k points

1 Answer

5 votes

Answer:

y = 9.4

x = 5.7

Explanation:

From the given triangle

Opposite to the acute angle is y

Hypotenuse = 11

Angle = 59degrees

using the SOH CAH TOA identity

sin 59 = opp//hyp

sin59 = y/11

y = 11sin59

y = 9.4

Also

Adjacent = x

cos theta = adj/hyp

cos 59 = x/11

x = 11cos59

x = 5.7

User Mahen
by
6.6k points