Answer:
Part 1) [tex]x=44.80\ units[/tex]
Part 2) [tex]y=56.85\ units[/tex]
Step-by-step explanation:
Part 1) Find the value of x
we know that
In the right triangle of the figure
The tangent of angle of 52 degrees is equal to divide the opposite side to the angle of 52 degrees (x units) by the adjacent side to the angle of 52 degrees (35 units)
[tex]tan(52\°)=x/35[/tex]
Solve for x
[tex]x=(35)tan(52\°)[/tex]
[tex]x=44.80\ units[/tex]
Part 2) Find the value of y
we know that
In the right triangle of the figure
The cosine of angle of 52 degrees is equal to divide the adjacent side to the angle of 52 degrees (35 units) by the hypotenuse (y units)
[tex]cos(52\°)=35/y[/tex]
Solve for y
[tex]y=35/cos(52\°)[/tex]
[tex]y=56.85\ units[/tex]
