Answer:
x = 60.1
Step-by-step explanation:
- The provided side length is adjacent to given degree
- and we are lookin for the hypotenuse
SOH CAH TOA stands for,
sinx = opposite / hypotenuse
cosx = adjacent / hypotenuse
tanx = opposite / adjacent
cosine fulfills everything we have provided so we will choose cos
NOTE: x in cosx represent the degree amount
Solving:
cosx = adjacent / hypotenuse
cos(37°) = 48 / x
multiply both sides by x,
cos(37°)x = 48
divided both sides by cos(37°) to get x alone
x = 48 / cos(37°)x
x = 60.1025
