Question

of tan x =5/12 and tan y =3/4 and ab = 48m find the length of cd
trigonometry ​

Answer 1

Answer:

tanx=

12

5

tany=

4

3

AB=48

Let CD=m

Then, tanx=

AC

CD

=

12

5

AC=

5

12m

tany=

BC

CD

=

4

3

BC=

3

4m

Given, AB=AC−BC

48=

5

12m

−

3

4m

48=

15

36m−20m

16m=48×15

m=45

Thus, CD=45 m