Question

Someone please help me with this question

Answer 1

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 $sine=\frac{opposite}{hypotenuse}$  and we have the hypotenuse for that triangle and we need to find the side opposite the given angle, 45°. Insert values:

$sin45=\frac{x}{7}$

Solve for x. Multiply both sides by 7:

$7*(sin45)=7*(\frac{x}{7})\\\\7*sin45=x\\\\x=7*sin45$

Enter the value into a calculator:

$x=4.9$

The leg is 4.9. Use this to solve for the next x. Use the sine ratio for the same reason. Insert values:

$sin45=\frac{x}{4.9}$

Solve for x. Multiply both sides by 4.9:

$4.9*(sin45)=4.9*(\frac{x}{4.9})\\\\4.9*sin45=x\\\\x=4.9*sin45$

Insert into a calculator:

$x=3.5$

Finito.