Question

Solve for x. Round to the nearest hundredth if necessary.

21.72

34.28

10.53

Answer 1

x is 34.28 rounded to the nearest hundredth

Explanation:

Since it is a right-angled triangle, using Pythagoras' rule, SOH/CAH/TOA;

Viewing the known variables, Opposite(19), Adjacent(x), and Theta(29°);

tan 29° = 19 / x (cross multiply, making x the subject of the formula);

x = 19 / tan 29° = 34.276 = 34.28 rounded to the nearest hundredth

x = 34.28