Given:
The right triangle with base 15 and hypotenuse x.
The measure of angle between base and hypotenuse is 28 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
In the given triangle,
[tex]\cos 28^\circ=\dfrac{15}{x}[/tex]
[tex]x=\dfrac{15}{\cos 28^\circ}[/tex]
[tex]x=\dfrac{15}{0.8829476}[/tex]
[tex]x=16.98855[/tex]
Round the value to the nearest tenth.
[tex]x\approx 17.0[/tex]
Therefore, the value of x is 17.0 units.
