Answer:
x=3.5
Step-by-step explanation:
You can find x by finding the hypotenuse of that triangle, which is the leg of the other triangle. Find the value of the leg first:
You can use the sine ratio to find the leg. This is because [tex]sine=\frac{opposite}{hypotenuse}[/tex] and we have the hypotenuse for that triangle and we need to find the side opposite the given angle, 45°. Insert values:
[tex]sin45=\frac{x}{7}[/tex]
Solve for x. Multiply both sides by 7:
[tex]7*(sin45)=7*(\frac{x}{7})\\\\7*sin45=x\\\\x=7*sin45[/tex]
Enter the value into a calculator:
[tex]x=4.9[/tex]
The leg is 4.9. Use this to solve for the next x. Use the sine ratio for the same reason. Insert values:
[tex]sin45=\frac{x}{4.9}[/tex]
Solve for x. Multiply both sides by 4.9:
[tex]4.9*(sin45)=4.9*(\frac{x}{4.9})\\\\4.9*sin45=x\\\\x=4.9*sin45[/tex]
Insert into a calculator:
[tex]x=3.5[/tex]
Finito.
