A right triangle has a hypotenuse of length 18 and an angle of 35°, with a side opposite this angle of length 4. A second right triangle also has an angle of 35°, with a hypotenuse of length 9.

Question

Determine the length of the side opposite the 35° angle on the second triangle.

Answer 1

Let's call the length of the side opposite the 35° angle in the first triangle x. By using the sine function, we know that sin(35°) = x/18. Hence, x = 18*sin(35°) ≈ 10.00439.

Now let's call the length of the side opposite the 35° angle in the second triangle y. Similarly, we know that sin(35°) = y/9. Hence, y = 9*sin(35°) ≈ 5.00220.

Therefore, the length of the side opposite the 35° angle in the second triangle is approximately 5.00220.