Question

Given right triangle ABC with right angle at C, find sin A if a=8 and b=15

Answer 1

we know that

In the right triangle ABC

Applying Pythagorean Theorem

Find the length of the hypotenuse c

so

c^2=a^2+b^2

c^2=8^2+15^2

c^2=64+225

c^2=289

c=17

Find sin(A)

we have that

sin(A)=BC/AB

we have

BC=a=8

AB=c=17

so

sin(A)=8/17