Respuesta :
Answer:
The answer to your question is:
acute angle = 54°
legs 7 m y 9.7 m
Step-by-step explanation:
Data
Hypotenuse = 12 m
acute angle = 36°  = a
acute angle 2 = ? Â = b
lengths of legs= ?
Process
The sum of the internal angles on a triangle equals 180°
           a + b + 90 = 180
          36 + b + 90 = 180
          b = 180 - 126
          b = 54°
sin Ф = opposite leg / hypotenuse
opposite leg = hypotenuse x sin Ф
opposite leg = Â 12 x sin 36
opposite leg = 7 m
Pythagorean theorem        Â
                   c² = a² + b²
                   a² = c² - b²
                   a² = 12² - 7²
                   a² = 144 - 49
                   a ² = 95
                   a = 9.7 m
Answer:
Two legs are 7.0534230 and 9.708203932.
The acute angle is 54 degrees.
Step-by-step explanation:
For the legs, you can use these two formulas:
12*cos(36)
12*sin(36)
(Make sure you put the 36 in degrees)
For the acute angle, 90-54=36 degrees.