Question 1181600

*[illustration balloon.png].
tan 42 = BG/(40-x)

BG = tan 42*(40-x)

BG = tan 50 *x

tan 42*(40-x) = tan 50*x

0.90*(40-x) = 1.19 x

36-0.90x = 1.19x

36 = (1.19+0.90)x

2.09x = 36
x=17.22

sin 42 = BG /22.78

Find out BG