Help please ASAP !!!

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:

$Sin (45) = \frac {leg} {h}$

Where h is the hypotenuse.

$\frac {\sqrt {2}} {2} = \frac {leg} {h}$

We cleared h:

$h = \frac {2leg} {\sqrt {2}}$

We rationalize:

$h = \frac {2leg} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}}\\h = \frac {2 \sqrt {2} * leg} {2}\\h = \sqrt {2} * leg$

ANswer:

Option A

You might be interested in

Simplify 7.06 ×1000 - 1976 ÷100

Mkey [24]

$\huge\text{Hey there!}$

$\large\text{7.06}\times\large\text{1,000 - 1,976}\div\large\text{100}\\\large\text{7.06}\times\large\text{1,000 = \boxed{\bf 7,060}}\\\large\text{7,060 - 1,976}\div\large\text{100}\\\large\text{1,976}\div\large\text{100 = 494}\div\large\text{25 = \boxed{\bf 19.76}}\\\large\text{7,060 - 19.76}\\\mathsf{= \boxed{\bf \ Answer: \dfrac{17,6006}{25}\ or\ 7,040.24}}\leftarrow\large\text{either of those choices should}\\\large\text{work because they are both equivalent to each other }$