Question

Don't know where to start, would be great if somebody could help me please!

Answer 1

AB = 16.23 to 2 decimal places.

Explanation:

cos 52 = 10 / AB

AB = 10 / cos 52

AB = 10/0.616

AB = 16.234

Answer 2

The answer to your question is AB = 16.25

Explanation:

Data

AC = 10.01 = adjacent side

AB = ? = hypotenuse

m∠A = 52°

Process

1.- Use trigonometric functions to find AB

As we have ∠A, we use cosine to find the hypotenuse

`cos \alpha  = (adjacent side)/(hypotenuse)`

hypotenuse = adjacent side / cos α

2.- Substitution

hypotenuse = 10.01 / cos (52)

hypotenuse = 10.01 / 0.616

3.- Simplification and result

hypotenuse = AB = 16.25