Respuesta :
The measure of angle X to the nearest degree will be 79.2°.
In triangle ΔWXY, the dimension of the triangle is given below.
w = 600 inches, x = 590 inches and y = 140 inches.
What is law of cosine?
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle C is of θ degrees, then we have:
a² + b² – 2ab cos θ = c²
Then the measure of angle X will be
600² + 140² – 2 × 600 × 140 × cos θ = 590²
379600 – 168000 cos θ = 348100
Simplify the equation, then the value of angle θ will be
168000 cos θ = 31500
cos θ = 0.1875
θ = 79.2°
Thus, the measure of angle X to the nearest degree will be 79.2°.
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