Question

In the figure <A=30 <b=90 Ac=16cm
a) what is the length of BC?
b) what is the length of AB?​

Answer 1

Step-by-step explanation:

given that angle B is 90

so it is an right angled triangle

given angle A is 30

angle B is 90

so angle C = 180 - ( 30 + 90 )

= 180 - 120

= 60

by using the trigonometric ratios

sin 60 = AB / AC

= √3 / 2

then AB = √3

now cos 60 = BC / AC

= 1 / 2

then BC = 1

so the sides of the triangle are AB = √3

BC = 1

AC = 2