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:

$\sin 45^{\circ}=\frac{6}{x},$

solving the above equation for x, we get:

$x=\frac{6}{\sin 45^{\circ}}\text{.}$

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

$\tan 45^{\circ}=\frac{6}{y},$

solving the above equation for y we get:

$y=\frac{6}{\tan 45^{\circ}}.$

Answer:

x=6sqrt2,

y=6.