Answer:
51. g/f
52. 6.1
Step-by-step explanation:
Use the acronym SOH CAH TOA to help you out.
It basically means sine = opposite / hypotenuse , cosine = adjacent / hypotenuse, and tangent = opposite / adjacent.
That's why 51 is g/f because that is the adjacent over hypotenuse when looking at it from the perspective of angle H.
Similarly, you set up the equation for 52 using this:
cosine(35) = 5 / a
When you solve for this you get a = 5/ (cosine(35)), which is 6.1.
Also a quick note is to make sure your calculator is in degrees NOT radians.
