Question

Find the values of x and yin the following right triangle.

Answer 1

To find the value of x, we calculate the sine of 45 degrees:

`\sin 45^(\circ)=(6)/(x),`

solving the above equation for x, we get:

`x=(6)/(\sin 45^(\circ))\text{.}`

Now, to find the value of y, we calculate the tangent of 45 degrees:

`\tan 45^(\circ)=(6)/(y),`

solving the above equation for y we get:

`y=(6)/(\tan 45^(\circ)).`

Answer:

x=6sqrt2,

y=6.