Question

Special right triangle need help asap!

Answer 1

Answer:

15√3.

Step-by-step explanation:

This is a 30-60-90 right triangle.

The sides are in the ratio 2:1:√3  where 2 is the hypotenuse, side  of length 1 is opposite 30 degree angle and side √3 is opposite the 60 degree angle.

So  as the side opposite the 30 degree angle = 15,

x = 15 * √3

= 15√3.

Answer 2

Answer:

15√2 (fourth answer choice)

Step-by-step explanation:

Note that the ratio 15/x is the tangent of 30 degrees, which in turn is 0.577 or 1/√2.  Then:

1/√2 = 15/x, or

 1        5

----- = -----  or  x = 15√2

√2      x