Question

How do I solve this?
Solve for x and y then use pythagorean theory

Answer 1

x = (10.392)

y = 12

Explanation:

Trigonometric Functions:

Trigonometric Functions are special functions relating to the ratio of the sides of triangles. There are 6 primary ones known as sin, cos, tan, csc, sec, cot which all have definitions relating to the sides of a triangle.

We want to use one where it's defined using the adjacent side and opposite side since we know the adjacent side (the side 6) we just don't know the opposite side (the x side).

Luckily we have a function tan which is defined as:
`tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}`

We can plug in values we know:
`tan(60) = (x)/(6)` now just multiply both sides by 6 to solve for the x value:
`tan(60) * 6 = x` and then using a calculator we get approximately: ​10.392 and now from here we can use Pythagorean Theorem:

`(10.392)^2 + 6^2 = y^2\\\\107.994 + 36 = y^2\\\\143.994=y^2\\\\12=y`