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Find the measures of the unknown angles in the triangle shown. Round answers to the nearest degree.

Find The Measures Of The Unknown Angles In The Triangle Shown Round Answers To The Nearest Degree class=

Sagot :

Answer:

y is 40.54 degrees

x is 49.46 degrees

Step-by-step explanation:

Recall that Pythagoras theorem states that

a^2 + b ^2 = c^2

where a and b are the opposite and adjacent sides of a right angled triangle and c is the hypotenuse side

Using the notation SOH CAH TOA

Sin y = 13/20 where 13 is the length of the opposite side and 20 is that of the hypotenuse side.

y = sin^-1 0.65

y = 40.54 degrees

Considering angle x,

Cos x = 13/20 where 13 is the adjacent side and 20 is the hypotenuse side

x = Cos^-1 0.65

= 49.46 degrees

Answer:

x=49

y=41

Step-by-step explanation:

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