Question

Find the missing angle for each triangle below and state the tool you used to find the angle.

Answer 1

19.2 degrees using sine rule

Explanation:

right angle = 90 degrees

to find the missing angle, we use the sine rule

`(sin(A))/(a) = (sin(C))/(c)`

insert the values that you have:

`(sin(A))/(4.6) = (sin(90))/(14)`

cross multiply

`{sin(A)} = (sin(90))/(14) * 4.6 = 0.3285....`

use inverse sine to get the angle

`\sin {}^( - 1) (0.3285...) = 19.2(1dp)`

answer:19.2 degrees