Question

In ΔRST,∠S=90°,∠T=30°,RT=12 cm then find RS and ST.

Answer 1

the answer is St is 6cm and Rs is 9cm

Answer 2

Answer:

RS = 12cm and ST = $6\sqrt 3cm$

Step-by-step explanation:

Given:

$\angle S = 90^o, \angle T = 30^o\\RT= 12$

We have to find RS and RT.

So,

$sin30^o =\dfrac{RS}{RT}$

Now, put the value of $sin30^o$

$sin30^o = \dfrac12$

$\dfrac 12 = \dfrac{RS}{12}\\RS = \dfrac {12}2 = 6$

Now,

$tan 30^o = \dfrac{RS} {ST}$

Now, put the value of $tan30^o$

$tan 30^o =\dfrac {1}{\sqrt 3}$

$\dfrac {1}{\sqrt 3} = \dfrac{6} {ST}\\\\ ST = 6\sqrt 3cm$