Question

if angle A is acute and cos A = 8/17 then cot A is​

Answer 1

Step-by-step explanation:

cos A = 8/17

=> b/h = 8/17

Let b = 8x and h = 17x

Using Pythagoras theorem,

p² +b² = h²

=> p² = h² - b²

=> p² = (17x)² - (8x)²

=> p² = 289x² - 64x²

=> p² = 225x²

=> p = 15x

Now,

Cot A = b/p = 8x/15x = 8/15

So, the answer is Cot A = 8/15

Hope it helped you ❤.