Question

If sinA=$\frac{8}{17}$ and A is acute, then find tanA

Answer 1

Given :-

Sin A = 8/17

To Find :-

tan A

Solution :-

We know that

sinA = per/hyp

So,

p = 8 & h = 17

Now, By using Pythagoras theorem

H² = B² + P²

(17)² = (8)² + P²

289 = 64 + P²

289 - 64 = P²

225 = P²

√225 = P

15 = P

Now,

tanA = per/base

tanA = 8/15