Answer:
17 Newtons
Explanation:
[tex]F_{net}=\sqrt{(F_{y})^{2}+(F_{x})^{2}}=\sqrt{15^{2}+8^{2}}=\sqrt{225+64}=\sqrt{289}=17[/tex]
[tex]F_{net}=\sqrt{(F_{y})^{2}+(F_{x})^{2}}[/tex] — formula for resultant force
[tex]F_{net}=\sqrt{15^{2}+8^{2}}[/tex] — substitute the values in
[tex]F_{net}=\sqrt{225+64}[/tex] — simplify by squaring the numbers
[tex]F_{net}=\sqrt{289}[/tex] — simplify by adding the squares
[tex]F_{net}=17[/tex] — simplify by taking the square root
The reason the formula for the resultant force resembles that for a right triangle is because we are treating the two forces as the legs of a right triangle. The resultant would then be the hypotenuse of that triangle.
Hope this helps! Have a great day!
