The approximate value of the variable x will be 3.64.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The base of the right angle triangle is 10 cm, the perpendicular is x, and the hypotenuse is y.
Then the value of y will be given by the cosine of angle 20°.
cos 20° = 10/y
y = 10.64 cm
The approximate value of the variable x is given by the Pythagoras theorem.
H² = P² + B²
10.64² = x² + 10²
113.25 = x² + 100
x² = 113.25 – 100
x² = 13.25
x = 3.64
More about the right-angle triangle link is given below.
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