Use the right Mangle using the Information given Round answe

Use the right Mangle using the Information given. Round answers to two decimal places, if necessary. b = 5, c = 9, find a, beta and alpha a = 10.3 beta = 34.75 astir alpha = 55.25 astir a = 10.3 beta 33.75 astir alpha = 56.25 astir a = 7.48 beta=56.25 astir alpha = 33.75 astir a = 7.48 beta = 33.7 astir

Solution

b = 5, c = 9

since it is right angle triangle, so

c² = b² + a²

a = ( c² - b²)^1/2

= ( 81- 25)^1/2

a = 7.48

from fig, for angle B [ use tan(theta) = perpendicular / base]

tanB = b/a

= 5/ 7.48

B = tan^-1( 5/7.48)

B = 33.76 degree

for angle @:

tan @ = a/ b

tan@ = 7.48 / 5

@ = tan^-1 ( 7.48/5)

@ = 56.24 degree