High School

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In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box.

A right triangle with one leg labeled 66 millimeters and the hypotenuse labeled 79 millimeters. The angle that is opposite the 66-millimeter side is labeled x degrees.

Answer :

Answer:

In this triangle, what is the value of x?


Enter your answer, rounded to the nearest tenth, in the box.


x = 56.7

Step-by-step explanation:

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Rewritten by : Barada

Answer:

56.7°

Step-by-step explanation:

We solve this above question using the Trigonometric function of Sine

sin x = Opposite side/Hypotenuse

Opposite = 66mm

Hypotenuse = 79 mm

sin x = 66/79

x =arc sin(66/79)

x = arcsin(0.8354430379746836)

x = 56.661998553°

Approximately = 56.7°