Answer:
Option D, [tex]4.9[/tex] units
[tex]14.2[/tex] units
Explanation:
In a right angled triangle one angle is [tex]90[/tex]° while the sum of other two angle is [tex]90[/tex]°
Now if we go by the geometrical concepts
[tex]Sin (19) = \frac{base}{hypotenuse} \\[/tex]
Base length of the triangle is equal to
[tex]15 * sin 19\\= 4.9[/tex] units
As per the rule of Pythagorean theorem -
[tex](Hypotenuse)^2 = (Base length)^2 + ( Vertical side length)^2\\[/tex]
Substituting the values in above equation, we get -
[tex](15)^ 2 = (4.9)^2 + X^2\\X = \sqrt{(15)^2 - (4.9)^2} \\X = \sqrt{200.99} \\X = 14.2[/tex] units
