Question

Directions: Find the value of x.
Round angle measures to the nearest degree.

Answer 1

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

`\sin \theta=(Perpendicular)/(Hypotenuse)`

In the given right triangle,

Hypotenuse = 15

Perpendicular = 12.5

Now,

`\sin x^\circ=(12.5)/(15)`

`\sin x^\circ=0.83333`

`x^\circ=\sin^(-1)0.83333`

`x^\circ =56.442345^\circ`

`x\approx 56`

Therefore, the equation used to find x is
`\sin x^\circ=(12.5)/(15)` and the value of x is 56.