Question

the diagrams shows a right-angled triangle. find the size of angle x. give your answer correct to 1 decimal place.

Answer 1

1. 40.8 degrees

2. 65.6 degrees

Explanation:

1.

sin(x) = opposite / hypotenuse = 17/26

x = arcsin(17/26) = 40.83 degrees

2. tan(x) = opposite / adjacent = 11/5 = 2.2

x = arctan(11/5) = 65.56 degrees