Question

in the figure angle A = 30° angle B = 90° AC = 16 cm
# what is the length of AB?
# what is the length of BC?​

Answer 1

Answer:

length of both BC and AB is 8 cm

Answer 2

The length of AB is 13.84cm.

The length of BC is 8cm.

Step-by-step explanation:

Given,

angle A = 30

angle B = 90

AC = 16cm

Find the length of AB and BC.

By trigonometric ratios,

sin A = $\frac{BC}{AC}$

sin 30 = $\frac{BC}{16}$

$\frac{1}{2} = \frac{BC}{16}$

BC = 8cm.

cos A = $\frac{AB}{AC}$

$\frac{\sqrt{3} }{2}$ = $\frac{AB}{16}$

$\frac{16\sqrt{3}}{2} = AB\\ \\ 8(1.73) = AB\\\\13.84cm$= AB

Therefore, the length of AB is 13.84cm and the length of BC is 8cm.