Question

Solve the triangle for Y, x and z.
need help

Answer 1

To solve the given triangle, use the Pythagorean theorem to find the hypotenuse and the inverse tangent function to find the angle.

Step-by-step explanation:

To solve the triangle for Y, x, and z, we first need to know what kind of triangle it is. The values given are x=1, y=3, and z=0. Based on these values, we can determine that it is a right triangle.

1. Since it's a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse (Y). The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, Y = sqrt(x^2 + y^2) = sqrt(1^2 + 3^2) = sqrt(10).
2. To find the remaining angle, we can use the inverse tangent function. Tan(theta) = opposite/adjacent. So, tan(theta) = y/x = 3/1. Taking the inverse tangent of 3/1, we find that theta = 71.57 degrees.

Therefore, the values of the triangle are Y = sqrt(10), x = 1, and z = 0.