Jam1980 Jam1980
  • 21-07-2019
  • Mathematics
contestada

solve the right triangle given that A=30 degrees, C=90 degrees and a =15

Respuesta :

znk
znk znk
  • 22-07-2019

Answer:

B = 60°; c = 30; b = 25.98

Step-by-step explanation:

1. Calculate ∠B

 ∠A + ∠B + ∠C =180°

30° + ∠B + 90° = 180°

       ∠B + 120° = 180°

                  ∠B = 60°

2. Calculate c

  sinA = a/c

sin30° = 15/c

      ½ = 15/c

       c = 2 × 15 = 30

3 .Calculate b

   sinB = b/c

sin60° = b/30

 √3/2 = b/30

       b = (30√3)/2 = 15√3 = 25.98

Ver imagen znk
Answer Link

Otras preguntas

How did industrialization affect Manchester’s natural environment?
why was acquiring Guam important for the United States in the Spanish American war
The height y of a ball (in feet) is given by the function and x is the horizontal distance traveled by the ball. a)How high is the ball when it leaves the chil
Can you name an example of cooperation between US and Canada in a work towards conserving some natural landscape (such as a natural park)?
two southeast asian countries that gained independence in the 1950s are?
Find the roots of the following equations. a) 4x+9=34 b) (x-4)(x+2)=0 c) 2x^2-6x+4=0
Find the distance between P1(4,16degrees) and P2(-2,177degrees) on the polar plane.
Describe how is an organism's food and habitat related
two southeast asian countries that gained independence in the 1950s are?
What were Metternich’s three goals at the Congress of Vienna?